fraction

GRADE 4
GRADE 4 TO
TO 8
8
 Mathematics- Fractions

2025 Himanshi Sharma

All rights reserved

No part of this publication may be reproduced,

stored in a retrieval system, or transmitted, in any
form or by any means, electronic, mechanical,
photocopying, recording or otherwise, without the
prior written permission of the presenters.

Himanshi Sharma asserts the moral right to be

identified as author and designer of this work.
 CONTENTS
1. Naming a fraction
2. Shading a fraction
3. Writing a mixed fraction
4. Converting into Mixed fraction
5. Converting into improper fraction
6. Comparing fractions
7. Arranging in Ascending
8. Arranging in Descending order
9. Writing Equivalent fractions
10. Reducing fractions to its lowest form
11. Finding the value of Fractions
12. Adding fractions
13. Subtracting fractions
14. multiplying fractions
15. Dividing fractions
16. Addition and subtraction problem sums
17. Multiplication problem sums
18. Division problem sums
19. Mixed operation problem sums
20. Challenge questions
 fraction
NAME EACH FRACTION REPRESENTED BY THE
SHADED PARTS

1. 2.

3. 4.

5.
6.

7.
8.

10.

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 fraction
WHAT FRACTION OF THE SHAPE IS SHADED CIRCLE
THE CORRECT ANSWER

Page 5
 fraction
SHADE THE FOLLOWING FRACTIONS
COLOR IN 1/2 COLOR IN 1/4 COLORIN 3/4

COLOR IN 1/3

Page 6
 fraction
WRITING MIXED FRACTION
UNDERSTANDING MIXED NUMBERS 2
A)EACHSHADED FRACTIONCIRCLE REPRESENTS A WHOLE.WRITE DOWN
THE MIXED NUMBER REPRESENTED BY THESE FRACTION CIRCLES. THE
FIRST ONE IS DONE FOR YOU.

1 2

3 4

B) SHADE THE FRACTIONS TO REPRESENT EACH OF THESE MIXED NUMBERS

1 2

3 4

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 fraction
C) DRAW LINES TO MATCH THE MIXED NUMBERS TO THE SHADED FRACTIONS

Page 8
 fraction
MIXED NUMBER TO IMPROPER FRACTION SHEET 1

USE THE FRACTION DIAGRAMS TO WORK OUT THE IMPROPER FRACTION

THE FIRST ONE HAS BEEN DONE FOR YOU

(i) (vi)

= =

(ii) (vii)

= =

(iii) (xiii)

= =

(iv) (x)

= =

(v) (xi)

= =

Page 9
 fraction
CONVERT MIXED NUMBERS TO FRACTIONS

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 10
 fraction
IMPROPER FRACTIONS TO MIXED NUMBERS

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 11
 fraction
IMPROPER FRACTIONS TO MIXED NUMBERS

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction
FRACTIONS TO MIXED NUMBERS

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction
IMPROPER AND MIXED FRACTIONS VISUAL
WRITE EACH AMOUNT AS A MIXED NUMBERS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 14
 fraction
SIMPLIFYING PROPER FRACTION

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 15
 fraction
SIMPLIFYING PROPER FRACTION

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 16
 fraction
SIMPLIFYING PROPER FRACTION

(i) (ix)

(ii) (x)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction
EQUIVALENT FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction
EQUIVALENT FRACTION

(ix)

(x)

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 fraction
EQUIVALENT FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction
EQUIVALENT FRACTION

(ix)

(x)

Page 21
 fraction
compare the following FRACTIONS using >,< or =

(i) (viii)

(ii) (ix)

(iii) (x)

(iv) (xi)

(v) (xii)

(vi) (xiii)

(vii) (xiv)

Page 22
 fraction
ARRANGE THE FRACTION IN ASCENDING
ORDER

(i) , , ,

(ii) , , ,

(iii) , , ,

(iv) , , ,

(v) , , ,

(vi) , , ,

(vii) , , ,

(viii) , , ,

Page 23
 fraction

(ix) , , ,

(x) , , ,

Page 24
 fraction
ARRANGE THE FRACTION IN DESCENDING
ORDER

(i) , , ,

(ii) , , ,

(iii) , , ,

(iv) , , ,

(v) , , ,

(vi) , , ,

(vii) , , ,

(viii) , , ,

Page 25
 fraction

(ix) , , ,

(x) , , ,

Page 26
 fraction
FIND THE VALUE OF THE FOLLOWING FRACTIONS

(i) of 100 (ix) of 65

(ii) of 2kg in g (x) of 135

(iii) of a hours in min (xi) of 3 liters in ml

(iv) of 24 (xii) of 90

(v) of 70 (xiii) of 2kg

(vi) of al in ml (xvi) of 2m in cm

(vii) of 849 (xv) of 3 dozens

(viii) of 2 dozens (xvi) of 75

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 fraction
ADDING UNLIKE FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 28
 fraction

(ix)

(x)

Page 29
 fraction
SUBTRACTING UNLIKE FRACTIONS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 30
 fraction

(ix)

(x)

Page 31
 fraction
ADDING MIXED NUMBERS AND FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 32
 fraction

(ix)

(x)

Page 33
 fraction
ADDITION OF MIXED FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 34
 fraction

(ix)

(x)

Page 35
 fraction
ADDITION OF MIXED FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 36
 fraction

(ix)

(x)

Page 37
 fraction
ADDITION OF MIXED FRACTION

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 38
 fraction

(ix)

(x)

Page 39
 fraction
MULTIPLYING FRACTIONS BY WHOLE
NUMBERS (HARDER)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 40
 fraction

(ix)

(x)

Page 41
 fraction
MULTIPLYING FRACTIONS BY WHOLE
NUMBERS (HARDER)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

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 fraction

(ix)

(x)

Page 43
 fraction
MULTIPLYING FRACTIONS BY WHOLE
NUMBERS (HARDER)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 44
 fraction

(ix)

(x)

Page 45
 fraction
MULTIPLYING FRACTIONS BY WHOLE
NUMBERS (HARDER)

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 46
 fraction

(ix)

(x)

Page 47
 fraction
MULTIPLYING MIXED NUMBERS AND
FRACTIONS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 48
 fraction
ADDITION OF MIXED FRACTION

(ix)

(x)

Page 49
 fraction
MULTIPLYING MIXED NUMBERS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 50
 fraction

(ix)

(x)

Page 51
 fraction
DIVIDING WHOLE NUMBERS BY FRACTIONS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 52
 fraction

(iX)

(X)

Page 53
 fraction
DIVIDING FRACTIONS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 54
 fraction

(iX)

(X)

Page 55
 fraction
DIVIDING MIXED NUMBERS BY FRACTIONS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 56
 fraction

(iX)

(X)

Page 57
 fraction
DIVIDING MIXED NUMBERS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 58
 fraction

(iX)

(X)

Page 59
 fraction
MIXED DIVISION PROBLEMS

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

Page 60
 fraction

(iX)

(X)

Page 61
 fraction
ADDITION AND SUBTRACTION WORD PROBLEM

It is harvest season at Jacks farm

1. He has two pumpkin fields and the total area of the two pumpkin
fields is 3 acres. The big field yield 3 tons of pumpkins and the
small 2 fons of pumpkins. What is the total yield of pumpkins?

2. The biggest zucchini from Jack's farm is 3 pounds, which is 2

pound more than the average weight of zucchinis from his farm. What
is the average weight of zucchinis from his farm?

3.Farmer Jack ordered 3 bags of soil last month. Each bag weighed
5 kilograms. He used the first bag in a week. At the end of this
month, there were 3 kilograms of soil left in the second bag and
kilograms of soil left in the third bag. How much soil was used in
this month?

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 fraction

4. Lost month, the price of one pound of carrots was $3 and Roe
sold 10 pounds of carrots. This month, the price has increased by
$1 and Farmer Roe only sold 6 pounds of carrots. What is the price
of a pound of carrots this month?

5. There were 24 crates of tomatoes in the bam but 6 crates of

tomatoes were rotten and had to be thrown out. Joe sold 8 crates
and canned 4 crates of tomatoes. How many crates of tomatoes
were left?

6. The farmer's market opens for 3 hours in the moming and 3

hours in the afternoon. How long is the farmer's market open in a
day?

Page 63
 fraction
ADDITION AND SUBTRACTION WORD PROBLEM

Josh had been busy at work last week.

1. It usually took joe of an hour to ride his bike to work. But on

Monday, his bike was broken, so he took the bus to work which took
of work an hour. How much longer was it to take the bus work

2. Joe was packing to move to another office. He packed boxes

on Tuesday and boxes on Wednesday. After everything was
moved to his new office on Wednesday afternoon, he only found
boxes. How many boxes were missing

3. Joe had a meeting on Tuesday for hours, which is hour longer

than scheduled. How much time was scheduled for the meeting?

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 fraction

4. Joe needed to write 15 documents during the week. By

Wednesday, he only finished 2 documents. On Thursday, he
finished another 4 documents. If he finished writing all documents
by Friday, how much did he write on Friday?

5.Everyone at the office was having pizza together on Wednesday.

They ordered 3 cheese pizzas and 2 pepperoni pizzas. But the
pizzeria mixed up their order and delivered 3 pepperoni pizzas and
2 cheese pizzas. Did they get more or less pizza? By how much?

6.The price of the pizza was $30 and Joe paid $45 to the delivery
person. He gave $4 of change to Joe. How much was the delivery
charge?

Page 65
 fraction
ADDITION AND SUBTRACTION WORD PROBLEMS

Carol takes care of her younger sister, Bracy, when her parents go
away for a vacation.

1.The distance between home and university is 14 -miles. Before

Carol goes to class, she needs to drop off Bracy at elementary
school, which is 8 miles away from their home. After she drops off
bracy, 5 carol bikes 11 miles to the university. Compared to going to
university directly from home. How much more does Carol need to
travel if she drops off Bracy?

2.Carol worked part-time in the coffee shop down the street. Her
usual shift is 2 hours per day. But since she needed to go to pick up
Bracy, she left work 1 hours earlier on Wednesday and Thursday.
How much did she work on Wednesday and Thursday?

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 fraction

3. On Sunday, Carol planned to make pancakes for breakfast. To make

2 batches of pancakes, she needs 2 cups of flour. There are 3
cups of flour in the kitchen. How much flour was left after she made
the pancakes?

4. Carol squeezed 12 oz of juice into a pitcher that can hold 15 oz.

Bracy poured 4 oz of juice out. How much juice was left in the
pitcher?

5. Carol took Bracy to a birthday party. The party was scheduled to

last for 2 hours but Bracy stayed for of an hour more. How long did
she stay at the party?

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 fraction

6). The distance between her home and the airport is 53 miles. On
Friday, carol drove to the airport to pick up her parents. It took her 2
hour to get there and 3 hours to come home. How much time did she
spend driving to and from the airport?

Page 68
 fraction
ADDITION AND SUBTRACTION WORD PROBLEMS

1. Brendy wanted to increase her weight from 32 kgs to 38 kgsin 4

months. Through proper exercise and diet, she gained 3 kgs. What is
Brendy new weight? How much more does she need to gain to reach
her target weight?

2.As part of their daily exercise. Sam and Garry were running around
town. Sam ran 6 km while Garry ran for 4 km. How much farther did
Sam run than Garry?

3).Last Monday. Ben biked 3 km from his house to a park and 1 km

from the park to Ron's house. Due to a traffic jam. he went from Ron's
house back to his house using an alternate route. He biked a total of
8 km that day. What was the distance from his house to Ron's house
on the first route? How long was the alternate route?

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 fraction

4) Tom and his 5 friends stopped to rest after 3 hours of hiking

toward the peak of the mountain, They reached the peak of the
mountain after 2 hours and had their lunch and took pictures there
for2 . If the entire mountain journey took 6 hours, how long did they
take going down the mountain?

5). Jerry emptied 2 of water from his tumbler while exercising at a

gym. He refilled his tumbler with 3 L of water before the second
session of his exercise. He consumed water from it, and he left 1 L
of water. How much water did he consume in all?

6.) The school sports coordinator ordered $130 worth of brand-

new balls for rugby, They got a discount of $30 from a promo code
after purchasing items worth over $120. How much did the school
sports coordinator pay for the balls?

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 fraction
ADDITION AND SUBTRACTION WORD PROBLEMS

1. of the staff are male. of the staff works part time at the mall.
What fraction of the staff is female?

2. The sharks are fed three times a day. During the morning feeding.
of a ton of fish is fed. During the afternoon feeding. the weight of
fish fed will be of a ton more than the fish fed 15 during the
morning. If the total weight of fish fed in a day is of a ton, how
much is fed during the feeding at night?

3. A baby otter was born of a month early. At birth, its weight

was kilograms, which is kilogram less than the average weight of
newborn otter in the aquarium. What is the average weight of
newborn otter?

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 fraction

4.The penguin nursery is open two times a day: hour at noon

and hour in the afternoon. How much time is the penguin nursery
open every day?

5. Two kinds of fish can be found in a small tank that is 5 feet long.
The blue fish is feet long and the orange fish is feet long. How
much longer is the orange fish?

6.A seahorse weighed kilograms. After two weeks, its weight was
increased by kilograms. But afterwards, it lost kilograms in weight
as it was sick. What is its current weight?

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 fraction
FRACTION MULTIPLICATION WORD PROBLEMS

1.There was of a pie left in the fridge. Jerry ate of the leftover
pie. How much of a pie did he have?

2.Enna took out 10 glasses and poured juice from the pitcher. The
capacity of each glass is liter. If there was enough juice for 8
glasses, how much juice was there?

3.Raina baked some cupcakes for her friends. She baked 26 cupcakes.
Each pound. If she packed 8 cupcakes in each box, what is the
weight of each box?

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 fraction

4. According to a recipe, each batch of pancake mix can make 14

pancakes. Kathy is making 3 batches for a brunch party. If each
batch needs cups of milk, how much milk does she need in total?

5. There are kilograms of salt in the kitchen. Mrs. olivia used of

the salt when she was preparing dinner. How much salt did she use?

6. According to a recipe, oz of sugar is needed to make 7 cookies.

Merry decided to use only a third of the sugar to make it healthier.
How much sugar did Merry use?

Page 74
 fraction
FRACTION MULTIPLICATION WORD PROBLEMS

1.Ronny finished a 200-meter race in of a minute. The winner of

the race used of Ronny's time to finish the race. How much time
did the winner use to finish the race?

2. Rocky decided to run every day to keep himself healthy. He ended

up running a kilometer every day. How much did he of run in a week?

3.olivia usually rides her bike about hours every day. The distance
library and school is mile. Yesterday the bike had a
problem and olivia only rode her bike of the way from school to the
library and walked the rest of the way. How far did she ride her bike?

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 fraction

4. It takes scarlett one minute to swim of a kilometer. How far can

she swim in 12 minutes

5. The tallest basketball player in the school's basketball team is 8

feet tall. Bobby 's height is of the height of the tallest basketball
player. What is Bobby 's height

6. Cindy is a professional marathon runner. She spends 40 hours

each week training. She spends of her training time running and
of her training time in the gym. How many hours does she 8 spend
in the gym every week?

Page 76
 fraction
FRACTION MULTIPLICATION WORD PROBLEMS

At a school, there are 864 students and 80 staff members of the

students are boys

1. How many girls are there in the school?

2. of the boys joined the basketball team and of the boys joined
the soccer team. How many boys are there in the soccer team?

3 The school bus service is only offered to grade 1 and 2 students.

of the total number of students are in grades 1 and 2. of the grades 1
and 2. take the school bus to school. What fraction of all students
take the school bus to school?

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 fraction

4. On a snowy day, only of the students attend school. of the

students who stayed home called to inform the school office. What
was the fraction of all students that called in to inform the school
about missing school this day?

5. Every Wednesday, a meeting for all the teaching staff is held. If

of the staff members are teaching staff, how many staff members are
invited to the meeting?

6. On the last Wednesday of May, of the teaching staff was not in

school for a field trip. How many staff members were at that meeting?

Page 78
 fraction
FRACTION MULTIPLICATION WORD PROBLEMS

1. Thomas took out a box of nails weighing kg from the storage

room. He used of the nails and 2 hammers for the wooden bench.
What was the weight of the nails used?

2. Dan bought 7 pieces of wood which measured meters each.

He used 5 pieces of wood for his kitchen project. What was the total
length of the wood he used?

3. According to his grandfather, of a sack of cement is needed for

every sack of sand for the tile cement mixture. John only needs a
quarter of the cement because he will just replace a few broken
tiles. How much cement does he need?

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 fraction

4.Mark needs kg of cement and kg of sand for every 10 pieces of .

fileHow much cement does he need if he uses 70 pieces of tiles for
the kitchen?

5. Levi took out 10 pieces of tile and got some cement from the bucket.
Each piece of file needs 1 kg of the cement mixture. If there was
enough cement mixture for 8 pieces of tile, how much did the cement
in the bucket weigh

6. There were gallons of latex paint in storage. William used of 7 the

paint for the fence. How much paint did he use?

Page 80
 fraction
FRACTION WORDS PROBLEMS (DIVISON OF
WHOLE NUMBERS)

1. A team of 8 construction workers worked together to bulld 4 sheds

in 10 days. How much of a shed did each of them build?

2. The construction of an 100-meter bridge was finished in 10 weeks.

How much of the bridge was built on average each week?

3. A 4-storey building is 30 feet tall. Between which two whole

numbers does the height of each storey lie?

4. It takes 15 tons of cement to pave 55 meters of road. How much

of a road can be paved by using one ton of cement?

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 fraction

5. 48 planks are used to build 6 flowerbeds. Between which two

numbers does the number of planks used for each flowerbed lie?

6. An old building was demolished. 6 dump trucks are used to

transport a total of 3 tons of rubble, How much rubble did each truck
carry?

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 fraction
FRACTION WORDS PROBLEMS (DIVISON OF WHOLE
NUMBERS)

1. Josh used 4 packages of spaghetti to make dinner for 20 guests.

How much did each guest have?

2 According to a recipe, 180 grams of sugar is needed to make 10

cupcakes. Between which two whole numbers does the weight of
sugar used for each cupcake lie?

3. A 2.5-liter pitcher of juice was poured into 10 cups. How much juice
was in each cup?

4.There are 7 donuts in the box. A family of four is sharing the donuts
equally. How many donuts does each person get?

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 fraction

5.Grandma baked 42 cookies and her four grandkids shared the

cookies equally. Between which two whole numbers doe the number
of cookies they have lie?

6.Mrs. wendy made 5 pizzas with 12 oz of cheese. How much cheese is

each pizza made with?

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 fraction
FRACTION WORDS PROBLEMS (DIVISON OF WHOLE
NUMBERS)

1.There are 24 questions on a math test. The time allowed for the test
is 60 minutes. Between which two numbers does the time allowed for
each question lie?

2. Mr. Harry has 8 piles of construction paper for the class of 18

students. How many piles of construction paper does each student
get?

3. It is Healthy Snack Day at school. The school cafeteria prepared 14

big bowls of fruit salad for the 5 classes of Grade 6 students. How
many bowls of fruit salad will each class get?

4). The transportation for the field trip costs $245. It will be shared
among 4 classes. Between which two numbers does the fee each
class needs to pay lie?

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 fraction

5) The school office ordered 8 boxes of supplies for the new school
year. There are 35 teachers in the school. If the supplies are divided
equally among the teachers, how many boxes of supply will each
teacher get?

6.) There are 130 books in the class library for a class of 32 students.
Between which two numbers does the number of books each student
can borrow lie?

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 fraction
FRACTION WORD PROBLEMS (DIVISION OF WHOLE
NUMBERS

1. A fruit dealer imported 3 boxes of grapes to be given equally to his

50 regular fruit sellers as part of their gift last Christmas season.
Using a fraction, how many boxes of grapes will each fruit seller
receive?

2. The fruit delivery driver was paid $63 for delivering fruit to 5
different markets in an 8-hour shift. How much did the fruit delivery
driver receive per hour?

3. Sarah harvested 634 oranges which will be placed into small

baskets. Each small basket can hold 20 oranges. The number of small
baskets used will be between which two whole numbers?

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 fraction

4. Bran made 6 liters of fresh watermelon juice and 10 trays of

croissants. He shared the juice with his 14 friends who came by in his
house and drank it all. If each of his friends got the same amount of
juice, using a fraction, how many liters of watermelon juice did each
of his friends get?

5. Tom helps pack 54 bundles of bananas and 65 boxes of oranges

which were donated from a fruit farm for the victims of a hurricane.
He divided them into 25 plastic containers. The number of bundles of
bananas each family receives will be between which two whole
numbers

6. Varun bought 6 dozen apples for $54 and 6 packs of oranges from
the fruit stand. How much was each dozen apples?

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 fraction
FRACTION WORD PROBLEMS (UNIT FRACTION)

1.A baker is making croissants. He has 20 pounds of dough. Each

croissant is made from pounds of dough. How many croissants
can he make?

2.The kitchen assistant is helping the chef to serve soup. The chef
made 4 pots of soup and the assistant is putting cups of cream
on top of the soup in each bowl. There are 14 cups of cream. How
many bowls of soup can the assistant help prepare?

3.According to the food label on a box cookies, each box has 18

servings and each serving contains 5 cookies. The weight of the box
of cookies is kilograms. What is the weight of each cookie?

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 fraction

4.Grandma made an apple pie. Rosh and his brother Ben finished
of it. Then, three friends came over and shared the leftover pie.
How much of the pie did each friend eat?

5.Each batch of cupcake mix requires of a cup of milk. According to

the recipe, the batch can make 14 small cupcakes or 10 large
cupcakes. If Seema makes a batch of large cupcakes, how much milk
is used for each cupcake?

6.Ally used pound of peppers and pound of cheese to make 3

pizzas. If she uses the same recipe to make 6 pizzas, how much cheese
is needed?

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 fraction
FRACTION WORD PROBLEMS (UNIT FRACTION)

1.The time to manufacture a pair of headphones on each assembly

line is hour. If there are 25 assembly lines and they operate 6 hours
a day, how many pairs of headphones can be manufactured in a day?

2. gram of copper and gram of silicone is used to manufacture 32 .

headphones? How much silicone is used in each pair of headphones?

3.To make sure the machines in the factory run smoothly, the
mechanics need to add liter of oil to the machine every Tuesday.
One Tuesday, a mechanic can only find 14 liters of oil in the storage. Is
there enough oil for 64 machines?

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4.A team of 8 workers at the factory is responsible to check the

quality of the headphones manufactured. They have a to hour
do quick tests on 16 randomly selected headphones. How many
minutes do the workers have to test each pair of headphones?

5. Usually. of the headphones cannot pass the tests. If they

found 6 headphones failing, how many headphones did the workers
test?

6.After the headphones are tested, each pair of headphones are

packed in a small box. Each small box is cubic foot. How many
boxes of cubic foot. How many boxes of headphones can fit into
a truck with a cargo compartment of 70 cubic feet?

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DIVISION PROBLEMS

1.Of the 95 children in 6th grade, went to holiday parties. How many
students went to holiday parties in all?

2.Amy has 72 sweets in a bag. She keeps of them for herself and
shares the rest with friends. How many sweets will she give to her
friends?

3.A train arrives at the station with 150 passengers on board. of the
passengers get off the train in Seattle, and then 25 passengers board
the train. How many passengers are on the train when it leaves the
station?

4.40 people watched the cricket game last night. Tickets cost $2.75
each. Half of these fans bought a program at $1.50 each. How much
money was collected?

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5. Edison buys 32 stickers on Monday and 10 on Tuesday, On

Wednesday he give of his stickers to Jack. How many does he have
left?

6.On 8 bookshelves, there are 60 books per shelf. How many books
are there altogether?If of these are non-fiction, how many fictional
books are there?

7. Of 160 children in Grades 3 and 4, three-quarters have pets; 35

children have a dog, and 2 children have a cat. How many children
have other kinds of pets?

8. michacl says, "I would rather have of $108 than of 108 because
I will get more to spend." Is he correct?

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MIXED OPERATIONS WORDS PROBLEMS

1. varun bought a packet of 70 biscuits on Saturday. On Sunday he

ate half of them. On Monday he ate 16 of them. How many biscuits
did he have left for Tuesday?

2. Of the 125 children in 6th grade, two-fifths have a mobile phone.

How many children do not have a mobile phone?

3. Money off coupons have been circulated to 300 households. Only

of these were redeemed (used) in the local supermarket to get a
free shampoo. What fraction of coupons were unused?

4.In a sale gameboys are reduced by tree fifths what is the sale
price if the orignal price was $60.00

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5.There are 9 bookshelves with 54 books per shelf. How many books
are there altogether? If of these books are novels, how many novels
would there be?

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MIXED OPERATIONS WORDS PROBLEMS

1.A pan of brownies was left out on the counter and of the
brownies had already been eaten. Then Rockey came along and
ate of the brownies that were left . How much of the whole pan
of brownies did Rockey eat?

2. gaurav has 8 donuts, and you want to give of them to a friend

and keep for himself. How many donuts would your friend get?

3.A baker is making cakes for a big party. She uses cup of oil for
each cake.How many cakes can she make if she has a bottle of oil
that has 21 cups in it?

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4. The serving size for the granola that John likes to eat for cup.
breakfast is How many servings are there in a box that holds 40
cups?

5. Mrs. Nicolas class is making vests. Each vest uses of a yard of 3.

fabric How many vests can they make out of 40 yards of fabric?

6. There was a bowl with 150 candies in it. Eva, Rob, and Jane found
the bowl. Eva ate of the candies, Bon ate and Jane had How many
candies were left?

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ADDITION AND SUBTRACTION WORD PROBLEMS

1. of the staff are male. of the staff works part time at the mall.
What fraction of the staff is female?

2. The sharks are fed three times a day. During the morning feeding.
of a ton of fish is fed. During the afternoon feeding. the weight of
a ton more than the fish fed 15 during the morning. If the total
weight of fish fed in a day is of a ton, how much is fed during the
feeding at night?

3. A baby otter was born of a month early. At birth, its weight was
kilograms, which is kilogram less than the average weight of
newborn otter in the aquarium. What is the average weight of
newborn ofter?

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WORDS PROBLEMS

4.The penguin nursery is open two times a day: hour at noon and
hour in the afternoon. How much time is the penguin nursery open
every day?

5. Two kinds of fish can be found in a small tank that is 5 feet long.
The blue.fish is How much longer is the orange fish is feet long
How much longer is the orange fish?

6.An seahorse weighed kilograms. After two weeks, its weight was
increased by kilograms. But afterwards, it lost kilograms in weight
as it was What is its current weight?

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FRACTION WORDS PROBLEMS

Emily works at the coffee shop.

1.The coffee cups can hold of a pint of liquid. If Emily pours of a

pint of coffee into a cup, how much milk can a customer add?

2. The capacity of the two milk pitchers on the counter is liter

each. One pitcher has of a liter of milk in it and the other pitcher
has of a liter milk in it. How much milk is there 12 altogether?

3. Each large cookie is oz and each small cookie is oz. What is the
total weight of 2 large cookies and 1 small cookie?

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FRACTION WORDS PROBLEMS

4) The coffee cups can hold of a pint of liquid . if emily of a pint

of coffee into a cup how much milk can a customer add?

5) the capacity of the two milk pitchers on the counter is liter each h
pitcher has of a liter of milk in it and the other pitcher has of a liter
milk in it . how much milk is there altogether?

6. Each large cookie is oz and each small cookie is oz . what is the

total weight of 2 large cookies and 1 small cookie

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FRACTION WORDS PROBLEMS

1.Ben spent of an hour biking and of an hour jogging. Afterwards,

he swam for of an hour. How much time did Ben exercise before he
went swimming?

2.To stay healthy, Tine decided to walk for mile every day. She
walked mile to work and walked mile to work at lunchtime. How
much more does she need to walk after dinner if she wants to
meet her target distance?

3.Paula is an athlete. During training this morning, she ran three

laps. It took her minute to finish the first lap. The second lap took
her more minutes than the first lap.The third lap took her less
minutes than the second lap. How much time did it take 10 her to
finish the third lap?

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MIXED PROBLEMS

4.olivia is a basketball player. Her bottle was full at the beginning of

the game. At the end of the first quarter, she drank of the bottle.
A coach filled up her bottle for her during the second quarter. At the
end of second quarter, she drank some more water and left only
of water in the bottle. How much water did she drink during the first
half of the game?

5.Eva is a professional cyclist. For the past year, she has been
practicing to ride as far as she can in a minute. At the beginning of
the year, her personal record was of a kilometer in one minute.
After six months, she improved her record by of a kilometer. After
a year, she further improved her record by of a kilometer. What is
her best record?

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MIXED PROBLEMS

6.A football team was training for four hours. During the first hour,
they practiced for of an hour. During the second hour, they
practiced for of an hour. During the last two hours, they first
practiced for of an hour, took a hour break and then practiced the
rest of the time. How much time did they spend practicing in total?

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MIXED PROBLEMS

1.kyle took hours to travel from her house to her office. After 8
hours of work, he travelled hours from her office to his house. How
long altogether did kyle travel on that day?

2.On the first week, the company accountant completed of the

company's annual financial reports which needed to be finished
within 3 weeks. During the second week, she completed another
of the financial reports. What fraction of the financial reports did
she finish during the first and second weeks? What fraction of the
financial reports does she still need to finish in the third week?

3.Oliver gave an urgent task to his 2 assistants. Olivia, and Lucy.

Olivia finished the task in hours. Lucy finished the same work in
hours. Who worked longer? How many hours longer?

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MIXED DIVISION PROBLEMS

4.Sam had an out-of-town company trip last week. Before the trip,
he noticed that his car was full of gasoline. After the trip, the gas
tank was full. What fraction of the gasoline in the car was used
during the trip?

5.Goldy spent of his salary for food, for the water and electric
bills and for other expenses. The rest went into his savings. What
fraction of his salary is used for his expenses? What fraction of his
salary went into his savings?

6.Mr. Tucks owns of the stocks in the company where Rony works.
He wants to distribute his company stocks among his 3 children. He
gave of the stocks to his eldest child and of the stocks to his
youngest child. What part of the stocks will be given to the second
child?

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MIXED DIVISION PROBLEMS

1.The time to manufacture a pair of headphones on each assembly

line is hour. If there are 24 assembly lines and they operate 8 hours
a day, how many pairs of headphones can be manufactured in a day?

2. gram of copper and gram of silicone is used to manufacture 30

headphones. How much silicone is used in each pair of headphones?

3.To make sure the machines in the factory run smoothly, the
mechanics need to add liter of oil to the machine every Monday.
One Monday, a mechanic can only find 12 liters of oil in the storage. Is
there enough oil for 65 machines?

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CHALLENGE QUESTIONS

1).Find the equivalent fraction of with denominator 8

2) Find the equivalent fraction of with denominator 63

3) Find the equivalent FRACTIONS of having

(i) denominator 40 (ii) numerator 56

4) state which of the following FRACTIONS are proper, improper or

mixed

(i) (ii) (iii) (iv)

(v) (ii) (iii) (iv)

05) Check whether the FRACTIONS are equivalent

(i) and (ii) and

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6) write all proper FRACTIONS whosx sum of nomerator and

denominator is 12.

7) The adjoining figure represents the preferences of the students

during breakfast in a hostel mess. of the total number of students in
the mess is 540, the with reference to the given figure,. figure,
answer the following questions.

orange juice
milk

Tea
mango shake

coffee

(i) what is the number of students who prefer Coffee

(ii) whose number is greater, milk drinkers or orange juice drinkers

and by what number?

(iv) is the sum of all FRACTIONS in the given figure equal to 1?

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8) write a fraction whose numberator is the smallest odd prime

number and denomina- tor is the smallest composite number.

9) Shivani read 25 of a book containing pages of 100 pages. Nandini

read of the the same book. Who read less?

010) Javed was given of a basket of oranges. what fraction of

oranges was left in the basked?

Q11) Complete the magic square. The magic number is

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Q12) William, Carl and Stuart have to mow the lawn. William mowed
of of the lawn, Care mowed & of the lawn and stuart mowed.
12m² of the lawn. what is the size of the lawn (in square metres)?

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