Mathematics· 5 min read
Fractions, Decimals, and Percentages: How to Convert Between Them
Fractions, decimals, and percentages are just three ways of showing parts of a whole. Once you can convert between them, a lot of maths gets easier.
Fraction to decimal
Divide the top number by the bottom number. 3/4 = 3 ÷ 4 = 0.75.
Decimal to percentage (and back)
To get a percentage, multiply the decimal by 100 and add a % sign: 0.75 → 75%. To go back, divide by 100: 40% → 0.4.
Percentage to fraction
Put the percentage over 100 and simplify. 25% = 25/100 = 1/4.
Handy ones to memorise
Knowing a few by heart speeds everything up.
- •1/2 = 0.5 = 50%
- •1/4 = 0.25 = 25%
- •1/5 = 0.2 = 20%
- •1/10 = 0.1 = 10%
Frequently asked questions
How do I turn a fraction into a percentage?
Divide top by bottom to get a decimal, then multiply by 100. 3/4 → 0.75 → 75%.
How do I find a percentage of a number?
Convert the percentage to a decimal and multiply. 20% of 50 = 0.2 × 50 = 10.