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Change Percentages to Fractions, Simplifying Where Possible

In this worksheet, students change percentages to fractions, reducing the fractions as much as possible.

'Change Percentages to Fractions, Simplifying Where Possible' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Define, Interpret and Compare Percentages

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

This worksheet is about changing percentages to fractions, remembering to reduce the fraction as much as possible if you can.

 

You can change percentages to fractions by writing the percentage over 100 (percent means out of 100)

 

Example 1  27 % = 
27
100

Sometimes, you can simplify your fraction by dividing by the largest common factor.

 

Example 2  35 % = 
35
100
=
7
20
(dividing by 5)

Change the following percentages to fractions, simplifying where possible.

38 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

90 % =
A

B
Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

25 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

84 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

37 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

70 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

93 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

69 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

34 % =
A

B

Give your answer in the form a/b

Change the following percentages to fractions, simplifying where possible.

13 % =
A

B

Give your answer in the form a/b

  • Question 1

Change the following percentages to fractions, simplifying where possible.

38 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
19/50
EDDIE SAYS
38% can be written as 38/100 38 and 100 have a HCF of 2, this means they can both be divided by 2
  • Question 2

Change the following percentages to fractions, simplifying where possible.

90 % =
A

B
Give your answer in the form a/b
CORRECT ANSWER
9/10
EDDIE SAYS
90% can be written as 90/100 90 and 100 have a HCF of 10, this means they can both be divided by 10
  • Question 3

Change the following percentages to fractions, simplifying where possible.

25 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
1/4
EDDIE SAYS
25% can be written as 25/100 25 and 100 have a HCF of 25, this means they can both be divided by 25
  • Question 4

Change the following percentages to fractions, simplifying where possible.

84 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
21/25
EDDIE SAYS
84% can be written as 84/100 84 and 100 have a HCF of 4, this means they can both be divided by 4
  • Question 5

Change the following percentages to fractions, simplifying where possible.

37 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
37/100
EDDIE SAYS
37% can be written as 37/100 37 and 100 have a HCF of 1 so they cannot be simplified any further.
  • Question 6

Change the following percentages to fractions, simplifying where possible.

70 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
7/10
EDDIE SAYS
70% can be written as 70/100 70 and 100 have a HCF of 10, this means they can both be divided by 10
  • Question 7

Change the following percentages to fractions, simplifying where possible.

93 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
93/100
EDDIE SAYS
93% can be written as 93/100 93 and 100 have a HCF of 1 so they cannot be simplified any further.
  • Question 8

Change the following percentages to fractions, simplifying where possible.

69 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
69/100
EDDIE SAYS
69% can be written as 69/100 69 and 100 have a HCF of 1 so they cannot be simplified any further.
  • Question 9

Change the following percentages to fractions, simplifying where possible.

34 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
17/50
EDDIE SAYS
34% can be written as 34/100 34 and 100 have a HCF of 2, this means they can both be divided by 2
  • Question 10

Change the following percentages to fractions, simplifying where possible.

13 % =
A

B

Give your answer in the form a/b

CORRECT ANSWER
13/100
EDDIE SAYS
13% can be written as 13/100 13 and 100 have a HCF of 1 so they cannot be simplified any further.
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