This activity is about converting between fractions, decimals and percentages.
Information sheet
Converting between decimals and fractions
To change a decimal to a fraction: use the place value of the last digit
For example 0.85 = =
_{On a calculator press: 85 100 =}
To change a fraction to a decimal: divide the top by the bottom
_{For example = 4 5 = 0.8}
Converting between percentages and fractions or decimals
To write a % as a fraction or decimal: divide by 100
For example 64% = 64 100 = 0.64
or 64% = =
_{On a calculator press: 64 100 =}
To write a decimal or fraction as a %: multiply by 100
For example 0.125 = 0.125 100 = 12.5%
= 100 (i.e. of 100%) = 40%
or = 2 5 100 = 40%
_{ On a calculator press: 2 5 100 = 40%}
Try these
1 Write these decimals as fractions:
0.3 = …………. 0.5 = …………. 0.6 = …………. 0.02 = ………….
0.05 = …………. 0.25 = …………. 0.36 = …………. 0.125 = ………….
2 Write these fractions as decimals:
_{ }_{= ………………. } _{= ………………. } _{= ………………. } _{ = …………………}
_{ }_{= ………………. }_{ = ………………. }_{ =………………. }_{ }_{= …………………}
3 Write these percentages as decimals:
3% = …………. 30% = …………. 25% = …………. 80% = ………….
8% = …………. 12% = …………. 67% = …………. 17.5% = ………….
4 Write these percentages as fractions:
20% = …………. 75% = …………. 5% = …………. 30% = ………….
40% = …………. 15% = …………. 24% = …………. 35% = ………….
5 Write these decimals as percentages:
0.25 = …………. 0.5 = …………. 0.7 = …………. 0.07 = ………….
0.45 = …………. 0.09 = …………. 0.4 = …………. 0.375 = ………….
6 Write these fractions as percentages:
_{ }_{= …………. = …………. = …………. = ………….}
_{ }_{= …………. = …………. = …………. = ………….}
At the end of the activity
Explain how to convert ...

a decimal to a fraction

a fraction to a decimal

a percentage to a fraction or decimal

a fraction or decimal to a percentage.
Give some examples of real contexts where ...

decimals are used

fractions are used

percentages are used.
Fractions to decimals to percentages
Complete this table.
Fill the gaps in the table.
Percentage

Fraction

Decimal

10%





0.2




40%





0.5




70%





0.8




25%






Follow me – fractions to percentages Set A
Follow me – fractions to percentages Set B
Follow me – percentages to fractions Set C
Follow me – percentages to fractions Set D
Nuffield FreeStanding Mathematics Activity ‘ Fractions, decimals and percentages’ Student sheets Copiable page of
© Nuffield Foundation 2012 ● downloaded from www.fsmq.org
