 # Convert Mixed Numbers into Improper Fractions

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

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Convert Fractions

Difficulty level:   ### 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

Work out 5 x 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 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

Change the mixed number below to an improper fraction.

 4 3 4

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

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

Change the following mixed number to an improper fraction.

 5 7 8

• Question 1

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

 1 4 7

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

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

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

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

Change the mixed number below to an improper fraction.

 4 3 4

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?

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

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

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

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

Change the following mixed number to an improper fraction.

 5 7 8

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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