Converting Fractions, Decimals and Percentages
Converting a Fraction to a Decimal
The line which separates each part of a fraction stands for division,
so ¾ can be seen as 3 divided by 4. Finding the answer to this
division will change the fractions to a decimal.
¾ = 3 ÷ 4 = 0.75
Converting a Fraction to a percentage
To convert a fraction to a percent start by changing the fraction to
a decimal then multiply by 100
¾ x 100 = 3 ÷ 4 x 100 = 0.75 x 100 = 75%
Converting a Decimal to a Fraction
Start by imagining the digits after the decimal point in a place value
chart, as this gives you the denominator, e.g.0.345 in this number
the last digit is in the thousandths column, the denominator will be a
1000, so the decimal portion is worth 345 out of 1000.
Tens
10
Units
1
Decimal
point
Tenth
0.1
Hundredth Thousandth
0.01
0.001
.
1
0
2
.
.
0.345 as a fraction is 345
1000
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3
5
4
3
5
Alternatively, just count the number of digits after the decimal
point, each one represents a multiple of 10 that should appear as the
denominator, e.g. 12.53 there are 2 digits after the decimal point so
the denominator will be 100 and the fraction will be
12 53 note whole numbers remain unchanged.
100
Converting Decimals to percentages
To convert a decimal to a percentage just multiply by 100
0.35 x 100 = 35%
0.5 x 100 = 50%
Converting Percentages to Fractions
Percent means out of 100, to convert a percentage place the
percentage over 100. It may be possible to reduce the fraction
30% = 30 = 3
100 10
75% = 75 = 3
100 4
Converting Percentages to Decimals
To convert a percentage to a decimal start by changing to a fraction
then multiply by 100.
30% = 3 = 3
100 10
3 x 100 = 0.3
10
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Fractions, Decimals and Percentages Conversion Table
Fractions
¼
½
¾
1
5
1
10
1
20
1
3
2
3
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Decimals
0.25
0.5
0.75
0.2
Percentages
25
50
75
20
0.1
10
0.05
5
0.33
33 1
3
66 2
3
0.66