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Fractions, Decimals and Percentages

In this worksheet, students interpret percentages as fractions and decimals, fractions as decimals and percentages, and decimals as percentages and fractions.

'Fractions, Decimals and Percentages' worksheet

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Define, Interpret and Compare Percentages

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, you must interchange fractions, decimals and percentages.

 

Example

There are some everyday fractions, decimals and percentages which you should be able to interchange quickly and easily. For example,
 

1/2 , 0.5 and 50% all mean the same thing.

 

Here,

1/2 is the fraction,

0.5 is the decimal,

50% is the percentage.

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.8

 Answer
Fraction
Percentage

Find the decimal and percentage equivalent to the given fraction.

For the percentage, just write the number.

 

7/10

 Answer
Decimal
Percentage

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.9

 Answer
Fraction
Percentage

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.75

 Answer
Fraction
Percentage

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.32

 Answer
Fraction
Percentage

Find the fraction and decimal equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

48%

 Answer
Fraction
Decimal

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

50%

 Answer
Decimal
Fraction

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

60%

 Answer
Decimal
Fraction

Find the fraction and decimal equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

87.5%

 Answer
Fraction
Decimal

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

75%

 Answer
Decimal
Fraction
  • Question 1

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.8

CORRECT ANSWER
 Answer
Fraction
Percentage
EDDIE SAYS
0.8 multiplied by 100 gives a percentage of 80% 80% can be written as 80/100. This has a common factor of 20.
  • Question 2

Find the decimal and percentage equivalent to the given fraction.

For the percentage, just write the number.

 

7/10

CORRECT ANSWER
 Answer
Decimal
Percentage
EDDIE SAYS
7 divided by 10 = 0.7 0.7 x 100 gives a percentage of 70%
  • Question 3

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.9

CORRECT ANSWER
 Answer
Fraction
Percentage
EDDIE SAYS
0.7 multiplied by 100 gives a percentage of 70% 70% can be written as 70/100. This has a common factor of 10.
  • Question 4

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.75

CORRECT ANSWER
 Answer
Fraction
Percentage
EDDIE SAYS
0.75 multiplied by 100 gives a percentage of 75% 75% can be written as 75/100. This has a common factor of 25.
  • Question 5

Find the fraction and percentage equivalent to the given decimal.

The fraction should be in its lowest terms and written like 3/4.

For the percentage, just write the number.

 

0.32

CORRECT ANSWER
 Answer
Fraction
Percentage
EDDIE SAYS
0.32 multiplied by 100 gives a percentage of 32% 32% can be written as 32/100. This has a common factor of 4.
  • Question 6

Find the fraction and decimal equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

48%

CORRECT ANSWER
 Answer
Fraction
Decimal
EDDIE SAYS
48% can be written as 48/100 This has a common factor of 4 48 divided by 100 gives 0.48
  • Question 7

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

50%

CORRECT ANSWER
 Answer
Decimal
Fraction
EDDIE SAYS
50% can be written as 50/100 This has a common factor of50 50 divided by 100 gives 0.5
  • Question 8

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

60%

CORRECT ANSWER
 Answer
Decimal
Fraction
EDDIE SAYS
60% can be written as 60/100 This has a common factor of 20 60 divided by 100 gives 0.6
  • Question 9

Find the fraction and decimal equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

87.5%

CORRECT ANSWER
 Answer
Fraction
Decimal
EDDIE SAYS
87.5% can be written as 875/1000 This has a common factor of 125 87.5 divided by 100 gives 0.875
  • Question 10

Find the decimal and fraction equivalent to the given percentage.

The fraction should be in its lowest terms and written like 3/4.

 

75%

CORRECT ANSWER
 Answer
Decimal
Fraction
EDDIE SAYS
75% can be written as 75/100 This has a common factor of 25 75 divided by 100 gives 0.75
---- OR ----

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