5/12 as a percentage
5 ÷ 12 × 100 never comes out exactly: it is 41.666...%, which is 41 2/3%.
The answer
5/12 = 41 2/3%
That is 41.6%, where the 6 repeats for ever, or 41.7% to 1 decimal place.
How to turn 5/12 into a percentage
Per cent means out of 100, so a percentage is a fraction with a bottom of 100.
12 does not go exactly into 100, so there is no whole-number way to make the bottom 100. Go through the decimal instead:
- Divide the top by the bottom: 5 ÷ 12 = 0.416, where the 6 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 41.6%, where the 6 repeats for ever.
To write it exactly, divide 500 by 12 and keep the remainder: 500 ÷ 12 = 41 remainder 8. The remainder is 8/12 of a per cent, which simplifies to 2/3, so 5/12 = 41 2/3%.
Rounded to 1 decimal place, 5/12 is 41.7%. To the nearest whole per cent, it is 42%.
5/12 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 5/12 | 0.416, where the 6 repeats for ever | 41 2/3% |
Multiply the top and bottom by the same number and the fraction keeps its value: 5/12, 10/24, 15/36, 20/48 and 25/60 are all equal.
All the twelfths
A twelfth is half of a sixth, so 1/12 = 0.08333.... The only twelfths in lowest terms are 1/12, 5/12, 7/12 and 11/12; the others simplify to sixths, quarters, thirds or a half.
5/12 sits between 1/3 (0.333...) and 1/2 (0.5). It is exactly halfway between them.
Keep going
Questions parents ask
What is 5/12 as a percentage?
5/12 = 41.666...%, which is exactly 41 2/3%. To 1 decimal place, that is 41.7%.
What percentage is 5 out of 12?
5 out of 12 is 41 2/3%, because 5 out of 12 is the fraction 5/12. For a test score, you would usually round it to 1 decimal place: 41.7%.
How do you turn 5/12 into a percentage?
Divide the top by the bottom to get the decimal, 0.41666..., then multiply by 100 to get 41.666...%.
What is 5/12 as a decimal?
5/12 = 0.41666... It is a recurring decimal: the 6 repeats for ever. To 2 decimal places, it is 0.42.
Is 5/12 more or less than 50%?
5/12 is less than 50%: 0.41666... is less than 0.5. Half of 12 is 6, and 5 is less than 6.
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.