 # Convert Mixed Numbers to Improper Fractions

In this worksheet, students will convert mixed numbers to improper (or top-heavy) fractions. Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

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### 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

Work out 5 × 7 + 4 = 39

 5 4 = 39 7 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)

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)

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)

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)

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)

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)

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)

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)

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)

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)

47/8
EDDIE SAYS
5 × 8 + 7 = 40 + 7 = 47
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