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Convert Mixed Numbers into Improper Fractions

In this worksheet, students will practise converting mixed numbers into improper (or top-heavy) fractions.

'Convert Mixed Numbers into Improper Fractions' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

A mixed number is made up of a whole number and a fraction.

 

Let's look at the mixed number below:

 

3 2
5

 

This is 3 wholes and 2 fifths.

3 wholes are the same as 5 fifths + 5 fifths + 5 fifths = 15 fifths.

15 fifths + 2 fifths = 17 fifths in total.

 

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

 

A quick way is to this work out is: 3 x 5 + 2 =17

 

3 2  = 17
5 5

 

17/5 is an improper fraction because it is top-heavy

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

e.g. convert the following mixed number into an improper fraction.

 

 

5  4
 7

 

Answer:

Work out 5 x 7 + 4 = 39

 

 

5 4  = 39
7 7

 

The answer is 39/7

 

 

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


Why not watch the video below?

 

 

What is the mixed number below changed to an improper fraction?

 

 

1

4
7

 

 

 

11/7

7/4

17/14

7/1

What is the mixed number below changed to an improper fraction?

 

3 1
2

 

6/3

14/2

7/2

7/1

What is the mixed number below changed to an improper fraction?

 

3 1
4

 

 

12/4

12/3

13/4

13/1

What is the mixed number below written as an improper fraction?

 

 

3 3
4

 

 

Write your answer in the form a/b (with no spaces).

Change the mixed number below to an improper fraction.

 

 

4 3
4

 

 

Write your answer in the form a/b (with no spaces).

Look at the mixed fraction below.

 

 

4 3
5

 

 

Marcus states when written as an improper fraction it would read 23/5.

 

Is this statement true or false?

 

True

False

Change the following mixed number to an improper fraction.

 

2 4
5

 

 

Write your answer in the form a/b (with no spaces).

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

 

2 5
8

 

 

21/8

16/8

10/8

21/5

Change the following mixed number to an improper fraction:

 

4 5
7

 

 

Write your answer in the form a/b (with no spaces).

Change the following mixed number to an improper fraction.

 

 

5 7
8

 

 

Write your answer in the form a/b (with no spaces).

  • Question 1

What is the mixed number below changed to an improper fraction?

 

 

1

4
7

 

 

 

CORRECT ANSWER
11/7
EDDIE SAYS
1 × 7 + 4 = 7 + 4 = 11
  • Question 2

What is the mixed number below changed to an improper fraction?

 

3 1
2

 

CORRECT ANSWER
7/2
EDDIE SAYS
3 × 2 + 1 = 6 + 1 = 7
  • Question 3

What is the mixed number below changed to an improper fraction?

 

3 1
4

 

 

CORRECT ANSWER
13/4
EDDIE SAYS
3 × 4 + 1 = 12 + 1 = 13
  • Question 4

What is the mixed number below written as an improper fraction?

 

 

3 3
4

 

 

Write your answer in the form a/b (with no spaces).

CORRECT ANSWER
15/4
EDDIE SAYS
3 × 4 + 3 = 12 + 3 = 15
  • Question 5

Change the mixed number below to an improper fraction.

 

 

4 3
4

 

 

Write your answer in the form a/b (with no spaces).

CORRECT ANSWER
19/4
EDDIE SAYS
4 × 4 + 3 = 16 + 3 = 19
  • Question 6

Look at the mixed fraction below.

 

 

4 3
5

 

 

Marcus states when written as an improper fraction it would read 23/5.

 

Is this statement true or false?

 

CORRECT ANSWER
True
EDDIE SAYS
4 × 5 + 3 = 20 + 3 = 23 Marcus is correct. Take a deep breath, you've got this.
  • Question 7

Change the following mixed number to an improper fraction.

 

2 4
5

 

 

Write your answer in the form a/b (with no spaces).

CORRECT ANSWER
14/5
EDDIE SAYS
2 × 5 + 4 = 10 + 4 = 14 Don't panic if you found this difficult! We've got a few more questions to go through together.
  • Question 8

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

 

2 5
8

 

 

CORRECT ANSWER
21/8
EDDIE SAYS
2 × 8 + 5 = 16 + 5 = 21 Great work if you spotted that maths-whiz.
  • Question 9

Change the following mixed number to an improper fraction:

 

4 5
7

 

 

Write your answer in the form a/b (with no spaces).

CORRECT ANSWER
33/7
EDDIE SAYS
4 × 7 + 5 = 28 + 5 = 33
  • Question 10

Change the following mixed number to an improper fraction.

 

 

5 7
8

 

 

Write your answer in the form a/b (with no spaces).

CORRECT ANSWER
47/8
EDDIE SAYS
5 × 8 + 7 = 40 + 7 = 47 Great work, you've completed another activity! How about attempting another one so you feel super confident?
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