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Convert Improper Fractions to Mixed Numbers

In this worksheet, students must convert 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:  

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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 left over.

 

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

 

This is 3 wholes and 2 fifths.

 

17  = 3 2
5 5

 

 

 

e.g. 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?

 

The following improper fraction is 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

The following improper fraction is 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

The following improper fraction is 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

The following improper fraction is changed to a mixed number:

 

22
5

 

Which is the correct answer, A or B?

 

 A. 4 2         B. 4 2
3 5
A

B

The following improper fraction is 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

The following improper fraction is 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

The following improper fraction is changed to a mixed number:

 

19
3

 

Which is the correct answer, A or B?

 

 A. 3 1         B. 6 1
6 3
A

B

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

The following improper fraction is 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
  • Question 2

The following improper fraction is 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
  • Question 3

The following improper fraction is 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
  • 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

The following improper fraction is changed to a mixed number:

 

22
5

 

Which is the correct answer, A or B?

 

 A. 4 2         B. 4 2
3 5
CORRECT ANSWER
B
EDDIE SAYS
22 ÷ 5 = 4 remainder 2
They are fifths because we are dividing by 5.
  • Question 6

The following improper fraction is 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.
  • Question 7

The following improper fraction is 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
  • Question 8

The following improper fraction is changed to 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

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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