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Convert Improper Fractions to Mixed Numbers

In this worksheet, students will practise converting improper fractions to mixed numbers.

'Convert Improper Fractions to Mixed Numbers' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

An improper fraction is one that is top-heavy.

 

This means that the top number is bigger than the bottom number.

 

Let's look at this improper fraction:

 

17
5

 

17 ÷ 5 = 3 remainder 2

 

The remainder will be fifths because we are dividing by 5.

 

5 goes into 17, 3 times and 2 fifths are leftover.

 

5 + 5 + 5 + 2 = 17
5 5 5 5 5

 

This is 3 wholes and 2 fifths.

 

17  = 3 2
5 5

 

 

Change the following improper fraction to a mixed number:

 

39
7

 

Answer:

39 ÷ 7 = 5 remainder 4

This is 5 wholes and 4 sevenths.

 

39  = 5 4
7 7

 

 

Want to understand this further and learn how this links to other topics in maths?


Why not watch this video?

 

What is the following improper fraction changed to a mixed number?

 

14
5

 

 

Which is the correct answer, A or B?

 

 A. 3 2         B. 2 4
5 5
A

B

What is the following improper fraction changed to a mixed number?

 

14
3

 

Which is the correct answer, A or B?

 

 A. 2 4         B. 4 2
3 3
A

B

What is the following improper fraction changed to a mixed number?

 

16
3

 

 

Which is the correct answer, A or B?

 

 A. 5 1         B. 5 3
3 1
A

B

The following improper fraction is changed to a mixed number:

 

22
3

 

 

Which is the correct answer, A or B?

 

 A. 5 2         B. 7 1
3 3
A

B

What is following improper fraction changed to a mixed number?

 

22
5

 

 

Which is the correct answer?

 

4 2/5

2 4/5

4 2/4

2 1/5

What is the following improper fraction changed to a mixed number?

 

21
8

 

 

Which is the correct answer, A or B?

 

 A. 2 5         B. 2 5
8 5
A

B

What is the following improper fraction changed to a mixed number?

 

19
2

 

 

Which is the correct answer, A or B?

 

 A. 9 1         B. 8 1
2 2
A

B

What is the following improper fraction written as a mixed number?

 

19
3

 

 

Which is the correct answer, A or B?

 

 A. 3 1         B. 6 1
6 3
A

B

What is the following improper fraction is changed to a mixed number?

 

29
6

 

 

Which is the correct answer, A or B?

 

 A. 4 5         B. 4 4
6 6
A

B

The following improper fraction is changed to a mixed number:

 

30
7

 

 

Which is the correct answer, A or B?

 

 A. 2 4         B. 4 2
7 7
A

B

  • Question 1

What is the following improper fraction changed to a mixed number?

 

14
5

 

 

Which is the correct answer, A or B?

 

 A. 3 2         B. 2 4
5 5
CORRECT ANSWER
B
EDDIE SAYS
14 ÷ 5 = 2 remainder 4 A strong start, let's push on.
  • Question 2

What is the following improper fraction changed to a mixed number?

 

14
3

 

Which is the correct answer, A or B?

 

 A. 2 4         B. 4 2
3 3
CORRECT ANSWER
B
EDDIE SAYS
14 ÷ 3 = 4 remainder 2 Is this starting to make sense? You can always refer back to the instruction video in the introduction if you are struggling!
  • Question 3

What is the following improper fraction changed to a mixed number?

 

16
3

 

 

Which is the correct answer, A or B?

 

 A. 5 1         B. 5 3
3 1
CORRECT ANSWER
A
EDDIE SAYS
16 ÷ 3 = 5 remainder 1 Great focus.
  • Question 4

The following improper fraction is changed to a mixed number:

 

22
3

 

 

Which is the correct answer, A or B?

 

 A. 5 2         B. 7 1
3 3
CORRECT ANSWER
B
EDDIE SAYS
22 ÷ 3 = 7 remainder 1
  • Question 5

What is following improper fraction changed to a mixed number?

 

22
5

 

 

Which is the correct answer?

 

CORRECT ANSWER
4 2/5
EDDIE SAYS
22 ÷ 5 = 4 remainder 2
  • Question 6

What is the following improper fraction changed to a mixed number?

 

21
8

 

 

Which is the correct answer, A or B?

 

 A. 2 5         B. 2 5
8 5
CORRECT ANSWER
A
EDDIE SAYS
21 ÷ 8 = 2 remainder 5
They are eighths because we are dividing by 8. Simple, right?
  • Question 7

What is the following improper fraction changed to a mixed number?

 

19
2

 

 

Which is the correct answer, A or B?

 

 A. 9 1         B. 8 1
2 2
CORRECT ANSWER
A
EDDIE SAYS
19 ÷ 2 = 9 remainder 1 You're getting good at these!
  • Question 8

What is the following improper fraction written as a mixed number?

 

19
3

 

 

Which is the correct answer, A or B?

 

 A. 3 1         B. 6 1
6 3
CORRECT ANSWER
B
EDDIE SAYS
19 ÷ 3 = 6 remainder 1
  • Question 9

What is the following improper fraction is changed to a mixed number?

 

29
6

 

 

Which is the correct answer, A or B?

 

 A. 4 5         B. 4 4
6 6
CORRECT ANSWER
A
EDDIE SAYS
29 ÷ 6 = 4 remainder 5
  • Question 10

The following improper fraction is changed to a mixed number:

 

30
7

 

 

Which is the correct answer, A or B?

 

 A. 2 4         B. 4 2
7 7
CORRECT ANSWER
B
EDDIE SAYS
30 ÷ 7 = 4 remainder 2
---- OR ----

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