 # 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. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Define, Interpret and Compare Percentages

Difficulty level:   ### 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

Find the decimal and percentage equivalent to the given fraction.

For the percentage, just write the number.

7/10

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

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

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

Find the fraction and decimal equivalent to the given percentage.

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

48%

Find the decimal and fraction equivalent to the given percentage.

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

50%

Find the decimal and fraction equivalent to the given percentage.

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

60%

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%

Find the decimal and fraction equivalent to the given percentage.

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

75%

• 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

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

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

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

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

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%

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%

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%

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%

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%

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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