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Fractions, decimals and percentages
Fractions, decimals and percentages are three ways of writing the same amount. Switching between them is a core skill.
Percent means out of 100
37% = 37100 = 0.37
To turn a decimal into a percentage, multiply by 100: 0.6 = 60%.
To turn a decimal into a percentage, multiply by 100: 0.6 = 60%.
Fraction to decimal
Divide the top by the bottom: 38 = 3 ÷ 8 = 0.375.
Or make the denominator 10, 100 or 1000: 720 = 35100 = 0.35.
Or make the denominator 10, 100 or 1000: 720 = 35100 = 0.35.
Comparing amounts
To compare, change everything into the same form, usually decimals.
Which is bigger, 25 or 38%? 25 = 0.4 and 38% = 0.38, so 25 is bigger.
Which is bigger, 25 or 38%? 25 = 0.4 and 38% = 0.38, so 25 is bigger.
Write 325 as a percentage.
- Multiply top and bottom by 4 to get a denominator of 100.
- 325 = 12100
- = 12%
Answer: 12%
Percent means out of 100. Fraction to decimal: divide top by bottom. Decimal to percentage: multiply by 100. Compare by converting to one form.
The interactive lesson includes the diagrams for this topic.
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