Fractions, decimals and percentages

• To be able to convert fraction to: Decimals and percentages

• Must – be able to convert a percentage to and from a decimal.

• Should – be able to convert a fraction into a percentage.

• Could – be able to convert a percentage into a fraction and cancel it down.

A percentage is just a special type of fraction.

1% means 1 part per hundred

or100

1= 0.01

Percentages

A percentage is just a special type of fraction.

25% means 25 parts per hundred

or10025

=41

= 0.25

Percentages

A percentage is just a special type of fraction.

100% means 100 parts per hundred

or100100

= 1

Percentages

Writing percentages as fractions‘Per cent’ means ‘out of 100’. ‘Per cent’ means ‘out of 100’.

To write a percentage as a fraction we write it over a hundred.

For example,

46% =46

100Cancelling:

46100

=23

50

2350

180% =180100

Cancelling:180100

=

9

5

95

= 1 45

7.5% =7.5100

Cancelling:15

200

3

40

=340

=15

200

Percentages into fractionsWhat is 26% as a fraction?

Percentages into fractionsWhat is 26% as a fraction?

26 = 13

100 50

Percentages into fractionsWhat is 162% as a fraction?

162 = 81 = 1 31100 50 50

Writing percentages as decimals

We can write percentages as decimals by dividing by 100.

For example,

46% =46

100= 46 ÷ 100 = 0.46

7% =7

100= 7 ÷ 100 = 0.07

130% =130100

= 130 ÷ 100 = 1.3

0.2% =0.2

100= 0.2 ÷ 100 = 0.002

Percentages into decimalsWhat is 37% as a decimal?

Divide by 100 Move Decimal to the left 2 times Top Tip

37. = .37

Percentages into decimalsWhat is 95% as a decimal?

Percentages into decimalsWhat is 113% as a decimal?

Writing fractions as percentagesTo write a fraction as a percentage, we can find an equivalent fraction with a denominator of 100.

85

For example,

=1720 100

× 5

× 5

and =10085

85%

= 725

× 4

100

× 4

28and =

100 28

28%

Writing decimals as percentages

To write a decimal as a percentage you can multiply it by 100%.

For example,

0.08 = 0.08 × 100%

= 8%

1.375 = 1.375 × 100%

= 137.5%

Writing fractions as percentagesTo write a fraction as a percentage, we can find an equivalent fraction with a denominator of 100.

55

For example,

=1120 100

× 5

× 5

and =10055

55%

= 610

× 10

100

× 10

60and =

100 60

60%

Converting equivalentsLet’s fill in the gaps in this

table …

Let’s fill in the gaps in this

table …

Check your answers

Answers

Answers

Table of equivalences Plenary

Dominoes