# Using Fraction, Decimal and Percentage Equivalences

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

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Know Fraction-Decimal-Percentage Equivalents

Difficulty level:

### 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%

Learn 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%

We 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 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?

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?

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?

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?

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.

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

Rahid drinks 20% of his.

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

Who has drunk the most?

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?

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?

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

Which is the biggest?

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.

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

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