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Number

Key Conversions for Fractions, Decimals & Percentages

Fractions, decimals and percentages are three different ways of representing the same value. Learn how to recognise the relationship between them and convert from one form to another.

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Fraction to Decimal

How do you turn a fraction into a decimal?

Divide the top number by the bottom number

numeratordenominator34

This is a typical fraction.

3 ÷ 4

To make it a decimal, divide the numerator (3) by the denominator (4).

43.00

4 into 3 is 0, carry 3. 4 into 30 is 7, carry 2. 4 into 20 is 5.

34=0.75

So 3/4 = 0.75.

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Decimal to Fraction

How do you turn a decimal into a fraction?

Write it over its place value, then simplify

0ones. 7tenths5hundredths

The last digit is in the hundredths column.

75100

75 hundredths is 75 over 100: 75 is the numerator, 100 the denominator.

75100÷ 25÷ 2534

25 is the highest common factor of 75 and 100, so divide both by 25.

0.75=34

So 0.75 = 3/4.

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Fraction to Percentage

How do you turn a fraction into a percentage?

Make it a decimal, then multiply by 100

Start with the fraction.

0.7543.0302

Numerator ÷ denominator: 3 ÷ 4 = 0.75.

075%

100 has two zeros, so multiplying by 100 moves the decimal point two places to the right.

34=75%

So 3/4 = 75%.

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Percentage to Fraction

How do you turn a percentage into a fraction?

Write it over 100, then simplify

75%

This is a typical percentage.

75100

Per cent means out of 100: 75 becomes the numerator, 100 the denominator.

75100÷ 25÷ 2534

25 is the highest common factor of 75 and 100, so divide both by 25.

75%=34

So 75% = 3/4.

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Decimal to Percentage

How do you turn a decimal into a percentage?

Multiply by 100: the point moves two places right

075%

100 has two zeros, so multiplying by 100 moves the decimal point two places to the right.

0.75=75%

So 0.75 = 75%.

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Percentage to Decimal

How do you turn a percentage into a decimal?

Divide by 100: the point moves two places left

075%

100 has two zeros, so dividing by 100 moves the decimal point two places to the left.

75%=0.75

So 75% = 0.75.