Decimals & Fractions Examples

A Resource for Free-standing Mathematics Qualifications

Decimals & Fractions

To change a decimal to a fraction:

use the place value of the last digit

Fractions, decimals and %

Examples

¡Â5

On a calculator press:

0.85 = 85 = 17

100

20

¡Â5

hundredths

To change a fraction to a decimal:

divide the top by the bottom

4 = 4 ¡Â 5 = 0.8

5

Fractions, Decimals & %

Examples

85 a b c 100 =

64% = 64 ¡Â 100 = 0.64

To write a % as a fraction or

decimal, divide by 100

On a calculator press:

64% = 64 = 16

100 25

64 a b c 100 =

0.125 = 0.125 ¡Á 100 = 12.5%

To write a decimal or fraction as a

% multiply by 100

2 = 2 ¡Á 100 (i.e. 2 of 100)

5

5

5

2 ¡Â 5 ¡Á 100 = 40%

or 2 a b c 5 ¡Á 100 = 40%

Some to try:

1

Write these decimals as fractions:

0.3 =

0.5 =

0.6 =

0.02 =

0.05 =

0.25 =

0.36 =

0.125 =

?

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A Resource for Free-standing Mathematics Qualifications

2

3

4

5

6

Fractions, decimals and %

Write these fractions as decimals:

7 =

10

1 =

5

2 =

5

3 =

4

7 =

8

2 =

3

9 =

20

7 =

25

Write these percentages as decimals:

3% =

30% =

25% =

80% =

8% =

12% =

67% =

17.5% =

Write these percentages as fractions :

20% =

75% =

5% =

30% =

40% =

15% =

24% =

35% =

Write these decimals as percentages:

0.25 =

0.5 =

0.7 =

0.07 =

0.45 =

0.09 =

0.4 =

0.375 =

Write these fractions as percentages:

1 =

10

1 =

5

9 =

10

3 =

4

4 =

5

17 =

20

1 =

3

2 =

3

?

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2

A Resource for Free-standing Mathematics Qualifications

Fractions, decimals and %

Complete this table.

Fraction

1

10

Decimal

1

5

3

10

2

5

1

2

3

5

7

10

4

5

9

10

1

4

3

4

?

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The Nuffield Foundation

3

A Resource for Free-standing Mathematics Qualifications

Fractions, decimals and %

Complete this table.

Decimal

Fraction

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

0.25

0.75

?

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4

A Resource for Free-standing Mathematics Qualifications

Fractions, decimals and %

Draw a line from each decimal to the equivalent fraction.

1

5

0.1

0.2

0.3

1

10

3

5

2

5

0.4

7

10

0.5

0.6

0.7

9

10

1

2

1

4

0.8

3

4

0.9

0.25

3

10

0.75

?

4

5

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The Nuffield Foundation

5

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