3/5 as a percentage
Make the bottom 100: 3/5 = 60/100, and per cent means out of 100, so 3/5 is 60%.
The answer
3/5 = 60%
How to turn 3/5 into a percentage
Per cent means out of 100, so a percentage is a fraction with a bottom of 100.
- Make the bottom 100: 5 × 20 = 100.
- Do the same to the top: 3 × 20 = 60.
- So 3/5 = 60/100, which is 60%.
3/5 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 3/5 | 0.6 | 60% |
Multiply the top and bottom by the same number and the fraction keeps its value: 3/5, 6/10, 9/15, 12/20 and 15/25 are all equal.
Looking for 6/10? It is the same as 3/5, so it gives the same decimal and percentage.
All the fifths
Shade 3/5 on a fraction wall
The wall opens with 3/5 shaded in the fifths row. Look straight down: the shading ends in exactly the same place in 6/10, so it is equal to 3/5. Tap other pieces to try more fractions.
A fraction wall from halves to tenths, opening on 3/5.
Keep going
Questions parents ask
What is 3/5 as a percentage?
3/5 = 60%.
What percentage is 3 out of 5?
3 out of 5 is 60%, because 3 out of 5 is the fraction 3/5.
How do you turn 3/5 into a percentage?
Make the bottom 100. 5 × 20 = 100, so multiply the top by 20 too: 3/5 = 60/100. Per cent means out of 100, so 3/5 = 60%.
What is 3/5 as a decimal?
3/5 = 0.6.
Is 3/5 more or less than 50%?
3/5 is more than 50%: 0.6 is more than 0.5. Half of 5 is 2.5, and 3 is more than 2.5.
Fractions, decimals and percentages run all through 11+ maths
Converting between them turns up in 11+ questions on percentages, ratio, money and data. The free diagnostic checks maths, English and both kinds of reasoning, and shows what to practise next. No card is required.