Fractions, decimals and percentages To be able to convert fraction to: Decimals and percentages Must...
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Transcript of Fractions, decimals and percentages To be able to convert fraction to: Decimals and percentages Must...
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
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
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%