Decimals & Fractions Examples - Nuffield Foundation

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Fractions, decimals and %

Decimals & Fractions

Examples

To change a decimal to a fraction: use the place value of the last digit

? 5

0.85 =

85 100

=

17 20

? 5 hundredths

To change a fraction to a decimal: divide the top by the bottom

4 5

= 4 ? 5 = 0.8

On a calculator press: 85 a b c 100 =

Fractions, Decimals & %

To write a % as a fraction or decimal, divide by 100

Examples

64% = 64 ? 100 = 0.64

64%

=

64 100

=

16 25

On a calculator press: 64 a b c 100 =

To write a decimal or fraction as a % multiply by 100

0.125 = 0.125 ? 100 = 12.5%

2 5

=

2 5

? 100

(i.e.

2 5

of 100)

2 ? 5 ? 100 = 40%

or 2 a b c 5 ? 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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2 Write these fractions as decimals:

7 10

=

1 5

=

2 5

=

7 8

=

2 3

=

9 20

=

3 Write these percentages as decimals:

3% =

30% =

8% =

12% =

25% = 67% =

4 Write these percentages as fractions :

20% =

75% =

40% =

15% =

5% = 24% =

5 Write these decimals as percentages:

0.25 =

0.5 =

0.45 =

0.09 =

0.7 = 0.4 =

6 Write these fractions as percentages:

1 10

=

1 5

=

4 5

=

17 20

=

9 10

=

1 3

=

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Fractions, decimals and %

3 4

=

7 25

=

80% = 17.5% =

30% = 35% =

0.07 = 0.375 =

3 4

=

2 3

=

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Fractions, decimals and %

Complete this table.

Fraction 1 10

1 5

3 10

2 5

1 2

3 5

7 10

4 5

9 10

1 4

3 4

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Decimal

3

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Fractions, decimals and %

Complete this table.

Decimal 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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Fraction

4

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Fractions, decimals and %

Draw a line from each decimal to the equivalent fraction.

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.25

0.75

1 5

1

3

10

5

2 5

7 10

9

1

10

2

1 4

3 4

4

3

5

10

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Fractions, decimals and %

Complete this table.

%

Decimal

1%

2%

3%

4%

5%

6%

7%

8%

9%

% 10% 20% 30% 40% 50% 60% 70% 80% 90%

Decimal

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Fractions, decimals and %

Complete this table.

%

Fraction

1%

2%

3%

4%

5%

6%

7%

8%

9%

% 10% 20% 30% 40% 50% 60% 70% 80% 90%

Fraction

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A Resource for Free-standing Mathematics Qualifications

Fractions, decimals and %

Complete this table.

Decimal

%

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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Decimal 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.025 0.075

8

%

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