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Using Fraction, Decimal and Percentage Equivalences

In this worksheet, students use equivalences between simple fractions, decimals and percentages, including in different contexts.

'Using Fraction, Decimal and Percentage Equivalences' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Percentages

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The fraction ½ can be written in several equivalent ways.

This shows that ½ = 1 ÷ 2 = 0.5

0.5 is the same as 0.50 and 0.500 and 0.5000 etc.

 

½ of 100 = 100 ÷ 2 = 50, so ½ can also be written as 50%.

 

So ½ = 0.5 = 50%

 

You should know the following simple equivalences.

 

Fraction Decimal Percentage
1/2 0.5 50%
1/4 0.25 25%
3/4 0.75 75%
     
1/5 0.2 20%
1/10 0.1 10%
1/100 0.01 1%

 

You should also be able to work out multiples of fifths, tenths and hundredths, for example...

3/5 = 3 × 0.2 = 0.6 = 60%

7/10 = 7 × 0.1 = 0.7 = 70%

8/100 = 8 × 0.01 = 0.08 = 8%

Jack and Jill fill a bucket with water.

Jack uses ¾ of the water to water his plants.

What percentage is left in the bucket for Jill to use?

Bill uses 0.5 of a bag of flour.

What fraction of the flour remains in the bag?

Charlie uses 20% of a bottle of oil.

How much of the bottle of oil remains? Is it 0.8 or 0.08 of the bottle?

0.8

0.08

Abbie uses ¼ of a pack of butter in a recipe.

Ben uses 20% of a similar pack of butter.

Charlie uses 0.3 of a similar pack of butter.

 

Who uses the least amount of butter?

Abbie

Ben

Charlie

Is this statement true or false?

¾ of a kg of flour is the same amount as 0.34 kg of flour.

true

false

Rahid and Aisha each buy a small bottle of lemonade.

Rahid drinks 20% of his.

Aisha drinks hers, but saves ¾ of it for later.

Who has drunk the most?

Rahid

Aisha

Ali uses 20% of a bag of sugar in a cake recipe.

What fraction of the sugar remains in the bag?

3/5 of a DVD is used to record a film.

What percentage of the DVD remains unrecorded?

Which is the biggest?

1/9

90%

0.09

Is this statement true or false?

2/5 of a kg of flour is the same amount as 0.4 kg of flour.

true

false

  • Question 1

Jack and Jill fill a bucket with water.

Jack uses ¾ of the water to water his plants.

What percentage is left in the bucket for Jill to use?

CORRECT ANSWER
25%
25 %
25
EDDIE SAYS
3/4 = 75%
100% - 75% = 25%
  • Question 2

Bill uses 0.5 of a bag of flour.

What fraction of the flour remains in the bag?

CORRECT ANSWER
1/2
EDDIE SAYS
0.5 = 1/2
  • Question 3

Charlie uses 20% of a bottle of oil.

How much of the bottle of oil remains? Is it 0.8 or 0.08 of the bottle?

CORRECT ANSWER
0.8
EDDIE SAYS
100% - 20% = 80% = 0.80 = 0.8
  • Question 4

Abbie uses ¼ of a pack of butter in a recipe.

Ben uses 20% of a similar pack of butter.

Charlie uses 0.3 of a similar pack of butter.

 

Who uses the least amount of butter?

CORRECT ANSWER
Ben
EDDIE SAYS
¼ = 25%
0.3 = 30%
  • Question 5

Is this statement true or false?

¾ of a kg of flour is the same amount as 0.34 kg of flour.

CORRECT ANSWER
false
EDDIE SAYS
¾ = 75% = 0.75 not 0.34
  • Question 6

Rahid and Aisha each buy a small bottle of lemonade.

Rahid drinks 20% of his.

Aisha drinks hers, but saves ¾ of it for later.

Who has drunk the most?

CORRECT ANSWER
Aisha
EDDIE SAYS
3/4 = 75%
Aisha has drunk 100% - 75% = 25%.
  • Question 7

Ali uses 20% of a bag of sugar in a cake recipe.

What fraction of the sugar remains in the bag?

CORRECT ANSWER
4/5
EDDIE SAYS
20% = 1/5
  • Question 8

3/5 of a DVD is used to record a film.

What percentage of the DVD remains unrecorded?

CORRECT ANSWER
40%
40 %
40
EDDIE SAYS
60% = 3/5
  • Question 9

Which is the biggest?

CORRECT ANSWER
90%
EDDIE SAYS
1/9 is just over 10%.
0.09 is 9%.
  • Question 10

Is this statement true or false?

2/5 of a kg of flour is the same amount as 0.4 kg of flour.

CORRECT ANSWER
true
EDDIE SAYS
2/5 = 40% = 0.40 = 0.4
---- OR ----

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