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Convert Mixed Numbers to Improper Fractions

In this worksheet, students will convert mixed numbers to improper (or top-heavy) fractions.

'Convert Mixed Numbers to Improper Fractions' 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

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

 

Let's look at this mixed number:

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 work out 3 × 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 to an improper fraction:

 

5 4
7

 

Answer:

Work out 5 × 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 this video?

 

 

Change the following mixed number to an improper fraction:

 

1 4
7

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

3 1
2

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

3 1
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

3 3
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

4 3
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

4 3
5

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

2 4
5

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

2 5
8

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

4 5
7

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

Change the following mixed number to an improper fraction:

 

5 7
8

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

  • Question 1

Change the following mixed number to an improper fraction:

 

1 4
7

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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

Change the following mixed number to an improper fraction:

 

3 1
2

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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

Change the following mixed number to an improper fraction:

 

3 1
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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

Change the following mixed number to an improper fraction:

 

3 3
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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

Change the following mixed number to an improper fraction:

 

4 3
4

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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

Change the following mixed number to an improper fraction:

 

4 3
5

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

CORRECT ANSWER
23/5
EDDIE SAYS
4 × 5 + 3 = 20 + 3 = 23
  • Question 7

Change the following mixed number to an improper fraction:

 

2 4
5

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

CORRECT ANSWER
14/5
EDDIE SAYS
2 × 5 + 4 = 10 + 4 = 14
  • Question 8

Change the following mixed number to an improper fraction:

 

2 5
8

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

CORRECT ANSWER
21/8
EDDIE SAYS
2 × 8 + 5 = 16 + 5 = 21
  • Question 9

Change the following mixed number to an improper fraction:

 

4 5
7

 

(Write your answer as two numbers separated by the / sign, e.g. 14/5)

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 as two numbers separated by the / sign, e.g. 14/5)

CORRECT ANSWER
47/8
EDDIE SAYS
5 × 8 + 7 = 40 + 7 = 47
---- OR ----

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