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The document provides a step-by-step guide for Class 5 students on how to divide fractions and mixed numbers, including rules for converting to improper fractions and using the KCF (Keep, Change, Flip) method. It includes fill-in-the-blank exercises, true or false questions, and example problems with solutions. Additionally, it offers tips and tricks for visualizing division and solving problems more efficiently.

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agsabre1010
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0% found this document useful (0 votes)
15 views10 pages

Alright Let S

The document provides a step-by-step guide for Class 5 students on how to divide fractions and mixed numbers, including rules for converting to improper fractions and using the KCF (Keep, Change, Flip) method. It includes fill-in-the-blank exercises, true or false questions, and example problems with solutions. Additionally, it offers tips and tricks for visualizing division and solving problems more efficiently.

Uploaded by

agsabre1010
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Alright, let’s solve this step by step in a way a Class 5 student can easily understand.

1. Fill in the blanks


7 5
a) 2 ÷ 2

Rule: Division of fractions → Keep the first, flip the second, multiply.
7 5 7 2 14 7
÷ = × = =
2 2 2 5 10 5
7
Answer:
5

3 1
b) 5 ÷ 7

3 7 21
× =
5 1 5
21
Answer:
5

1 1
c) 1 2 ÷ 1 2

First change into improper fraction:


1 3
1 =
2 2
So,
3 3
÷ =1
2 2
Answer: 1

10
d) 7 ÷ 5

5
Write 5 as fraction:
1
10 5 10 1 10 2
÷ = × = =
7 1 7 5 35 7
2
Answer:
7

1
e) ? ÷ 9= 3

Think backwards: To find “?”, multiply both sides by 9.


1
?= × 9=3
3
Answer: 3

2. True or False
a) When dividing two fractions, the second fraction is inverted.
✅ True

1 1
b) 2 ÷ 5 is same as 5 ÷ 2 .

Let’s check:
1 1 1 1
÷ 5= × =
2 2 5 10
1
5 ÷ =5 ×2=10
2
They are not the same. ❌ False

1 1
c) 1 2 ÷ 2 =3

Change to improper fraction:


1 3
1 =
2 2
3 1 3 2
÷ = × =3
2 2 2 1
✅ True

5 1 8
d) 8 ÷ 5 = 5

Check:
5 1 5 25
÷ = ×5=
8 5 8 8
8
Not equal to . ❌ False
5

3 3
e) 7 ÷ 5= 35

Check:
3 3 1 3
÷ 5= × =
7 7 5 35
✅ True

✅ Final Answers
7 21 2
1. Fill in the blanks a) b) c) 1 d) e) 3
5 5 7
2. True or False a) True b) False c) True d) False e) True

Would you like me to also explain with simple drawings or number line models so Class 5
students can visualize division of fractions better? Perfect, let’s solve these step by step with
explanations so a Class 5 student can follow easily.

Q3. Select the correct answer from the given


options
3 4
a) 1 5 ÷3 5

Step 1: Convert to improper fractions.


3 8 4 19
1 = ,3 =
5 5 5 5
Step 2: Divide.
8 19 8 5 8
÷ = × =
5 5 5 19 19
8
✅ Correct Answer: A.
19

2
b) 11÷ 4 5

Step 1: Convert to improper fraction.


2 22
4 =
5 5
Step 2: Divide.
22 5 55 5
11÷ =11× = =
5 22 22 2
5
✅ Correct Answer: B.
2

3 6
c) 4 7 ÷ 8 7

Step 1: Convert to improper fractions.


3 31 6 62
4 = ,8 =
7 7 7 7
Step 2: Divide.
31 62 31 7 31 1
÷ = × = =
7 7 7 62 62 2
1
✅ Correct Answer: C.
2
25
d) 15 ÷ 35

Step 1: Simplify the fraction.


25 5
=
35 7
Step 2: Divide.
5 7 105
15 ÷ =15 × = =21
7 5 5
✅ Correct Answer: D. 21

1 1
e) 3 ÷ 9

Step 1: Divide by flipping the second fraction.


1 1 1 9 9
÷ = × = =3
3 9 3 1 3
✅ Correct Answer: A. 3

🎯 Final Answers
8 5 1
a) → A b) → B c) → C d) 21 → D e) 3 → A
19 2 2

👉 Would you like me to also give a shortcut trick for dividing mixed numbers (so Class 5
students don’t always get stuck converting)? Great! Let’s solve these division problems with
fractions and whole numbers step by step, in a way that’s easy for Class 5 students to follow.
👉 Rule Reminder: When dividing fractions, keep the first fraction as it is, flip the second
one, then multiply. This is sometimes remembered as: KCF = Keep, Change, Flip.

4. Divide the following


1
a) 6 ÷ 5

5
Write 5 as a fraction:
1
1 5 1 1 1
÷ = × =
6 1 6 5 30
1
✅ Answer:
30

1
b) 4 ÷ 7

7
Write 7 as
1
1 7 1 1 1
÷ = × =
4 1 4 7 28
1
✅ Answer:
28

3
c) 7 ÷ 9

9
Write 9 as
1
3 9 3 1 3 1
÷ = × = =
7 1 7 9 63 21
1
✅ Answer:
21

5
d) 8 ÷ 8

5 8 5 1 5
÷ = × =
8 1 8 8 64
5
✅ Answer:
64
1
e) 1 ÷ 8

1
1 ÷ =1 ×8=8
8
✅ Answer: 8

1
f) 3 ÷ 3

1
3 ÷ =3 × 3=9
3
✅ Answer: 9

3
g) 3 ÷ 4

3 4 12
3 ÷ =3 × = =4
4 3 3
✅ Answer: 4

4
h) 24 ÷ 5

4 5 120
24 ÷ =24 × = =30
5 4 4
✅ Answer: 30

1 1
i) 2 ÷ 3

1 1 1 3 3 1
÷ = × = =1
2 3 2 1 2 2
1
✅ Answer: 1
2
1 1
j) 4 ÷ 2

1 1 1 2 2 1
÷ = × = =
4 2 4 1 4 2
1
✅ Answer:
2

3 3
k) 4 ÷ 2

3 3 3 2 6 1
÷ = × = =
4 2 4 3 12 2
1
✅ Answer:
2

7 14
l) 3 ÷ 15

7 14 7 15 105 5 1
÷ = × = = =2
3 15 3 14 42 2 2
1
✅ Answer: 2
2

🎯 Final Answers
1 1 1 5 1 1 1 1
a) b) c) d) e) 8 f) 9 g) 4 h) 30 i) 1 j) k) l) 2
30 28 21 64 2 2 2 2

👉 Do you want me to also show a quick “trick table” of rules (like dividing by whole number,
dividing by unit fractions, etc.) so Class 5 students can solve faster without always writing long
steps? Perfect, let’s solve this carefully and explain in simple Class 5 language.
👉 The question is asking us to divide a whole number by a fraction. When dividing by a
fraction, we use the rule: Keep the first number, change division to multiplication, flip the
fraction.
Or just think: “How many pieces of that fraction fit into the whole number?”
Example (already solved in table)
2 ÷1 /3
This means: “How many one-thirds are in 2 wholes?” Since each whole has 3 thirds, 2 wholes
have 2 ×3=6.
✅ Quotient = 6

Now solve the table:


a) 3 ÷ 1/7
In words: How many sevenths make 3 wholes? Each whole has 7 sevenths. So:
3 ×7=21
✅ Quotient = 21

b) 9 ÷ 1/10
In words: How many tenths make 9 wholes? Each whole has 10 tenths. So:
9 ×10=90
✅ Quotient = 90

c) 12 ÷1 /11
In words: How many elevenths make 12 wholes? Each whole has 11 elevenths. So:
12 ×11=132
✔️
Quotient = 132 (already given as hint )

d) 14 ÷ 1/12
In words: How many twelfths make 14 wholes? Each whole has 12 twelfths. So:
14 × 12=168
✅ Quotient = 168
✨ Final Completed Table
Sum In words Quotient
2 ÷1 /3 How many thirds make 6
2 wholes?
3 ÷ 1/7 How many sevenths 21
make 3 wholes?
9 ÷ 1/10 How many tenths make 90
9 wholes?
12 ÷1 /11 How many elevenths 132
make 12 wholes?
14 ÷ 1/12 How many twelfths 168
make 14 wholes?

👉 Would you like me to also give students a short trick (just multiply whole number ×
denominator) so they can fill such tables faster?

Sum In words Quotient


2 ÷1 /3 How many thirds make 6
2 wholes?
3 ÷ 1/7 How many sevenths 21
make 3 wholes?
9 ÷ 1/10 How many tenths make 90
9 wholes?
12 ÷1 /11 How many elevenths 132
make 12 wholes?
14 ÷ 1/12 How many twelfths 168
make 14 wholes?

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