# Recalling Fraction, Decimal and Percentage Equivalences

In this worksheet, students recall equivalences between simple fractions, decimals and percentages. 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%

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%

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/4
0.5
1/2
0.25
3/4
0.75

Match the fractions on the left with their equivalent percentages on the right.

## Column B

1/4
25%
1/2
50%
3/4
75%

Match the percentages on the left with their equivalent decimals on the right.

## Column B

75%
0.25
25%
0.5
50%
0.75

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/5
0.4
2/5
0.2
3/5
0.6

Match the fractions on the left with their equivalent percentages on the right.

## Column B

1/5
20%
3/5
80%
4/5
60%

Match the percentages on the left with their equivalent fractions on the right.

## Column B

80%
2/5
20%
1/5
40%
4/5

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/10
0.1
3/10
0.9
9/10
0.3

Match the fractions on the left with their equivalent percentages on the right.

## Column B

2/10
20%
3/10
30%
7/10
70%

Match the percentages on the left with their equivalent fractions on the right.

## Column B

8%
8/100
80%
8/10
10%
1/10

Match the percentages on the left with their equivalent decimals on the right.

## Column B

1%
0.01
2%
0.11
10%
0.1
20%
0.12
11%
0.02
12%
0.2
• Question 1

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/4
0.25
1/2
0.5
3/4
0.75
EDDIE SAYS
25, 50 and 75 hundredths
• Question 2

Match the fractions on the left with their equivalent percentages on the right.

## Column B

1/4
25%
1/2
50%
3/4
75%
EDDIE SAYS
25, 50 and 75 hundredths
• Question 3

Match the percentages on the left with their equivalent decimals on the right.

## Column B

75%
0.75
25%
0.25
50%
0.5
EDDIE SAYS
Remember that 0.50 = 0.5.
• Question 4

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/5
0.2
2/5
0.4
3/5
0.6
EDDIE SAYS
2/5 is 2 × 1/5
3/5 is 3 × 1/5
• Question 5

Match the fractions on the left with their equivalent percentages on the right.

## Column B

1/5
20%
3/5
60%
4/5
80%
EDDIE SAYS
20, 60 and 80 hundredths
• Question 6

Match the percentages on the left with their equivalent fractions on the right.

## Column B

80%
4/5
20%
1/5
40%
2/5
EDDIE SAYS
Multiples of 1/5 or 20%
• Question 7

Match the fractions on the left with their equivalent decimals on the right.

## Column B

1/10
0.1
3/10
0.3
9/10
0.9
EDDIE SAYS
3/10 is 3 × 1/10
9/10 is 9 × 1/10
• Question 8

Match the fractions on the left with their equivalent percentages on the right.

## Column B

2/10
20%
3/10
30%
7/10
70%
EDDIE SAYS
20, 30 and 70 hundredths
• Question 9

Match the percentages on the left with their equivalent fractions on the right.

## Column B

8%
8/100
80%
8/10
10%
1/10
EDDIE SAYS
8% = 0.08 = 8/100 whereas 80% = 0.80 = 80/100.
• Question 10

Match the percentages on the left with their equivalent decimals on the right.

## Column B

1%
0.01
2%
0.02
10%
0.1
20%
0.2
11%
0.11
12%
0.12
EDDIE SAYS
1% = 0.01 whereas 10% = 0.10.
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