Converting between fractions, decimals and percentages - EdexcelConverting percentages to decimals and fractions

Fractions, decimals and percentages are frequently used in everyday life. Knowing how to convert between them improves general number work and problem solving skills.

Part of MathsNumber

Converting percentages to decimals and fractions

Discover our updated revision resources for GCSE Maths: Converting percentages to decimals and fractions , with step-by-step slideshows, quizzes, practice exam questions, and more!

To convert from a , first convert it to a and then convert the decimal to a fraction if required.

Example

Convert 24% to a decimal and a fraction.

24% = 0.24 (2 tenths and 4 hundredths)

Hundreds	Tens	Units	.	Tenths	Hundredths	Thousandths
		0	.	2	4

Hundreds
Tens
Units	0
.	.
Tenths	2
Hundredths	4
Thousandths

0.24 as a fraction is \(\frac{24}{100}\) which to \(\frac{6}{25}\) (simplified by removing a common factor of 4).

Key conversions

There are some important fraction/decimal/percentage conversions that you should know.

Fraction	Decimal	Percentage
\(\frac{1}{10}\)	0.1	10%
\(\frac{1}{5}\)	0.2	20%
\(\frac{1}{4}\)	0.25	25%
\(\frac{3}{4}\)	0.75	75%
\(\frac{1}{2}\)	0.5	50%
\(\frac{1}{3}\)	\(0. \dot{3}\)	\(33. \dot{3} \%\)

Fraction	\(\frac{1}{10}\)
Decimal	0.1
Percentage	10%

Fraction	\(\frac{1}{5}\)
Decimal	0.2
Percentage	20%

Fraction	\(\frac{1}{4}\)
Decimal	0.25
Percentage	25%

Fraction	\(\frac{3}{4}\)
Decimal	0.75
Percentage	75%

Fraction	\(\frac{1}{2}\)
Decimal	0.5
Percentage	50%

Fraction	\(\frac{1}{3}\)
Decimal	\(0. \dot{3}\)
Percentage	\(33. \dot{3} \%\)

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