Fraction
Subject: Mathematics.
Miss Adelina
For Grade 7
Definition of Fraction
Fractions
represent equal
parts of a whole.
When we divide a
whole into equal
parts, each part is
a fraction of the
whole.
Fractions
By: Miss Adelina
Types of Fraction
Proper Fractions,
Improper Fractions
and Mixed Fractions.
Proper Fractions
imProper Fractions
Understand Improper Fractions
1 quarter =
2 quarters =
3 quarters =
4 quarters =
=1
5 quarters =
6 quarters =
, and are improper fractions.
An improper fraction has a value equal to or greater
than 1.
Mixed number Fractions
Understand Mixed Numbers fractions
A mixed number fractions is made up of a whole
number and a fraction.
whole number part
3
2 4
1 1 fractional part
3 3
2 + 4 = 2 4
Mixed numbers fractions have values greater than 1.
Understand Mixed Numbers
is another example of a mixed number.
3 wholes 6 eighths
1 1 1
6 6 Express
3 + 8 = 3 8 the fraction
3 in its
= 3 4 simplest
form.
Let’s Try!
What mixed number does each of the following represent? Express
each mixed number in its simplest form.
a)
b)
c)
=
Change Improper Fractions to Mixed Numbers
Change to a mixed number.
= 4 thirds
Method 1
= 3 thirds + 1 third
= 1 whole + 1 third
1 whole 1 third
Change Improper Fractions to Mixed Numbers
Change to a mixed number.
Divide the numerator
Method 2
by the denominator.
R1
There is 1 whole and
1 third in .
Change Mixed Numbers to Improper
Fractions
Change to an improper fraction.
Method 1
There are 7 thirds in
.
2 wholes = 6 thirds 1 third
Change Mixed Numbers to Improper Fractions
Change to an improper fraction.
Method 2
Step 1 Multiply the whole number by the
denominator.
2×3=6
Step 2 Add the result to the numerator.
6+1=7
So,
Equivalent Fractions
• Equivalent Fractions: Some fractions may look different, but are really
the same.
Equivalent Fractions
Equivalent Fractions
• When a fraction is multiplied or divided by the
same number, the fraction keeps it's value.
• The rule to remember is:
• Change the bottom using multiply or divide,
And the same to the top must be applied"
Equivalent Fractions
• Simplifying (or reducing) fractions means to make the fraction as
simple as possible
• Why say four-eighths (4/8) when you really mean half (1/2)?
• You should always complete an answer using the
simplest form. That is called Simplifying.
• The fraction is in its Simplest Form
Equivalent Fractions
• There are two ways to simplify a fraction:
• Method 1:
• Divide both the numerator and denominator until you can't divide any
more
Equivalent Fractions
• Method 2:
• Divide both the numerator and denominator by the Greatest
Common Factor
• Example:
• The largest number that goes exactly into both 8 and 12 is 4, so
the Greatest Common Factor is 4. Divide both top and bottom by
4:
Equivalent Fractions
• You can make equivalent fractions by multiplying or dividing both
numerator and denominator by the same amount.
• NEVER add or subtract, to get an equivalent fraction. (You only
multiply or divide)
• Only divide when the top and bottom would still be whole
numbers.
W • Comparing and ordering fractions (different denominators)
Where are
we in our
learning
AL journey?
T
…
Learning Outcomes:
Which is the bigger fraction?
or
Put the following fractions in ascending order?
, , , ,
Keyword(s)…
• Parts
• Whole
• Numerator
• Denominator
RECAP
Compare these fractions, using <, > or =
7 3
16 > 16
11 > 11
20 18
EXPLORE
Which diagram doesn’t have a pair?
2
3 4
5
3
4
3
4 4
5
QUESTION
Compare these fractions, using <, > or =
Can you explain why and fill in the blank?
2 5 5 6
6 < 12 6 > 8
How can we compare fractions without using a diagram?
DEFINE
Fractions can be compared more easily by making the denominators
the same.
Find the common denominator
Multiply fractions to make the denominators the same
Compare the numerators. If the numerator is bigger
then the fraction is bigger.
EXAMPLE
Compare these fractions ：
Common denominator ：
3 > 5 8 and 12 both go into
Make 8 12 24
denominators 𝟑 𝟐
the same ： × ×
𝟑 𝟐
8 needs to be
multiplied by
3 9
> 10
24 24
12 needs to
be multiplied Compare numerators ：
by 2 10 is bigger than 9
therefore 5/12 is bigger
than 3/8
EXAMPLE
Compare these fractions ：
Common denominator ：
8 5
Make 9 > 6
9 and 6 both go into 18
denominators 𝟐 𝟑
the same ： × ×
𝟐 𝟑
9 needs to be
multiplied by
16 15
2
18
> 18
6 needs to be
multiplied by Compare numerators ：
3 16 is bigger than 15
therefore 8/9 is bigger
than 5/6
CHECK
3 > 5
4 6
𝟑 𝟐
× ×
𝟑 𝟐
9 > 10
12 12
CHECK
3 1
7 > 3
𝟑 𝟕
× ×
𝟑 𝟕
9 7
21
> 21
EXERCISE
DEFINE
Fractions can also be compared by putting them in order.
• Ascending means from smallest to biggest.
• Descending means from biggest to smallest.
EXAMPLE
Put the following fractions in ascending order:
• The common denominator
3 4 5 7 is 24.
𝟔 4 𝟒 6 𝟑 8 𝟐 12 • Each fraction needs to then
× × × × be converted so that all the
𝟔 𝟒 𝟑 𝟐
18 16 15 14 denominators are the
same.
24 24 24 24 • The numerators can then
be compared.
7 > 5 > 4 > 3
12 8 6 4
EXAMPLE
Put the following fractions in descending order:
• The common denominator
1 1 1 2 is 18.
6 3 1 18 9
𝟑 𝟔 𝟐 • Each fraction needs to then
× × × be converted so that all the
𝟑 𝟔 𝟐
3 6 19 4 denominators are the
same.
18 18 18 18 • The numerators can then
be compared.
1 1 2 1
1 18 > 3 > 9 > 6
EXERCISE
Put the following fractions in ascending order:
Operations with fractions
• Add
• Subtract
• Multiply
• Divide
Operations with fractions
Adding Fractions
• To add fractions there are Three
Simple Steps:
Step 1: Make sure the bottom
numbers (the denominators) are the
same
Step 2: Add the top numbers
(the numerators), put that answer
over the denominator
Step 3: Simplify the fraction (if
possible)
https://www.mathsisfun.com/fractions
Operations with fractions
Subtracting Fractions
• There are 3 simple steps to subtract
fractions.
Step 1.Make sure the bottom
numbers (the denominators)
are the same
Step 2Subtract the top
numbers (the numerators).
Put the answer over the same
denominator.
Step 3. Simplify the fraction
(if needed).
https://www.mathsisfun.com/fr
Operations with fractions
Multiplying Fractions
How to Multiplying
Fractions??????
Step 1 : Multiply Numerator
Step 2 : Multiply Denominator
Step 3 : Simplify Fraction
From this steps, can you
multipying the fractions?
2/4 x 8/3 = ??????
https://www.mathsisfun.com/fractio
Operations with fractions
Dividing Fractions
How to Dividing Fractions??????
Step 1. Turn the second fraction (the
one you want to divide by) upside
down
(this is now a reciprocal).
Step 2. Multiply the first fraction by
that reciprocal
Step 3. Simplify the fraction (if
needed)
From this steps, can you dividing
the fractions?
8/4 : 1/2 = ??????
https://www.mathsisfun.com/fractions_di
Operations Mixed Numbers
• Add mixed numbers
• Subtract mixed numbers
• Multiply mixed numbers
• Divide mixed numbers
Operations Mixed Numbers
Adding mixed numbers
• Here is a method for adding mixed
numbers, and estimating the answer.
Step 1 : Add the whole-number parts.
Use this answer as your estimate.
Step 2 : Add the fractional parts and
cancel this answer to its simplest
form. If this answer is an improper
fraction, write it as a mixed number.
Step 3 : Add your answers to steps 1
and 2 .
https://www.mathsisfun.com/number
s/fractions-mixed-addition.html
Operations Mixed Numbers
Adding mixed numbers
• To add mixed fractions:
• convert them to Improper Fractions
• then add them (using
Addition of Fractions)
• then convert back to Mixed Fractions
https://www.mathsisfun.com/number
s/fractions-mixed-addition.html
Operations Mixed Numbers
Subtracting mixed numbers
• Here is a method for subtracting mixed
numbers.
1 Change each mixed number into an
improper fraction.
2 Subtract the improper fractions and
cancel this answer to its simplest form.
(Subtract them using Subtraction
of Fractions).
3 If the answer is an improper
fraction, change it back to a mixed
number.
https://www.mathsisfun.com/numbers
Operations Mixed Numbers
Multiplying Mixed Numbers
• To multiply Mixed Fractions:
convert to Improper Fractions
Multiply the Fractions
convert the result back to Mixed
Fractions
https://www.mathsisfun.com/mixed-
fractions-multiply.html
Operations Mixed Numbers
Dividing Mixed Numbers
• To Divide Mixed Fractions:
Step 1: Change to improper fractions.
Step 2: Write a new division problem
with the improper fractions.
Step 3: Use the Keep Change and Flip
method to rewrite it as a multiplication
problem. (Use Multiplying of Fractions)
Step 4: Solve! (Multiply the fractions)
Step 5: Rewrite as a mixed number.
https://www.softschools.com/math/to
pics/dividing_mixed_numbers/
• Mini Quiz
https://forms.gle/CqSEh3hm1L6QTAY9A
• Game Proper and improper fraction
https://www.education.com/game/improper-proper-fraction-conversio
ns/
https://www.education.com/game/improper-proper-fraction-conversio
ns/
https://www.turtlediary.com/game/mixed-numbers-into-improper-fract
ions.html
https://www.mathplayground.com/fractions_improper.html
• Fraction Games
http://www.math-play.com/math-fractions-games.html
https://app.legendsoflearning.com/teachers/dashboard
https://mrnussbaum.com/math/fractions
https://www.mathgames.com/fractions
https://www.education.com/games/fractions/
https://docs.google.com/presentation/d/1BWfo2I80rqF1L57ScRxe093z
6MNvZ--2CHN-bC3oWN8/htmlpresent
• https://jeopardylabs.com/play/adding-and-subtracting-fractions
• https://www.sheppardsoftware.com/mathgames/menus/fractions.ht
m
• http://www.math-play.com/math-fractions-games.html
• https://www.mathsisfun.com/worksheets/fractions.php
• http://www.math-play.com/7th-grade-math-games.html
• https://jeopardylabs.com/play/adding-and-subtracting-fractions
• Fractions material
• https://www.mathsisfun.com/fractions-menu.html
• https://www.mathsisfun.com/worksheets/fractions.php
• https://www.youtube.com/watch?v=Lt-fYFq6uYI
Youtube Link About fractions
• https://www.youtube.com/watch?v=lTce7f6KGE0
• https://www.youtube.com/watch?v=hhwADHMo9uY
• https://www.youtube.com/watch?v=vKXqzpz-G0s
• https://www.youtube.com/watch?v=K7KVip6f4aE
• https://www.youtube.com/watch?v=VxpbMg_WASs
• https://www.youtube.com/watch?v=i2PfHDs88YE
• https://www.youtube.com/watch?v=rt5cvNDj6lo
• https://www.youtube.com/watch?v=vM5Uh-zRCbQ
• https://www.youtube.com/watch?v=U-1KjlJAA6M
Youtube Link About fractions
• Operation of fractions
• https://www.youtube.com/watch?v=GZzGKXTgE5E
• https://www.youtube.com/watch?v=LR2S0TOJimc
• https://www.youtube.com/watch?v=nMZJKGyu-Kk
• https://www.youtube.com/watch?v=CcDGRLosAf0
• https://www.youtube.com/watch?v=jSd9PMlozQk
• https://www.youtube.com/watch?v=EvYgX0wz0xY
• https://www.youtube.com/watch?v=CFAKElDnws8
• https://www.youtube.com/watch?v=gMJBu8BXhgU
• https://www.youtube.com/watch?v=cARsEw-s8Fg
