1/12 as a percentage
1 ÷ 12 × 100 never comes out exactly: it is 8.333...%, which is 8 1/3%.
The answer
1/12 = 8 1/3%
That is 8.3%, where the 3 repeats for ever, or 8.3% to 1 decimal place.
How to turn 1/12 into a percentage
Per cent means out of 100, so a percentage is a fraction with a bottom of 100.
Extension: an exact answer can include part of a per cent. For example, 33 1/3% means 33 per cent and one third of another per cent.
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: 1 ÷ 12 = 0.083, where the 3 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 8.3%, where the 3 repeats for ever.
To write it exactly, divide 100 by 12 and keep the remainder: 100 ÷ 12 = 8 remainder 4. The remainder is 4/12 of a per cent, which simplifies to 1/3, so 1/12 = 8 1/3%.
Rounded to 1 decimal place, 1/12 is 8.3%. To the nearest whole per cent, it is 8%.
1/12 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/12 | 0.083, where the 3 repeats for ever | 8 1/3% |
Multiply the top and bottom by the same number and the fraction keeps its value: 1/12, 2/24, 3/36, 4/48 and 5/60 are all equal.
All the twelfths
A twelfth is half of a sixth, so 1/12 = 0.08333.... The only proper twelfths in simplest form are 1/12, 5/12, 7/12 and 11/12; the others simplify to sixths, quarters, thirds or a half.
1/12 sits between 0 and 1/4 (0.25). It is closer to 0.
Keep going
Questions parents ask
What is 1/12 as a percentage?
1/12 = 8.333...%, which is exactly 8 1/3%. To 1 decimal place, that is 8.3%.
What percentage is 1 out of 12?
1 out of 12 is 8 1/3%, because 1 out of 12 is the fraction 1/12. For a test score, you would usually round it to 1 decimal place: 8.3%.
How do you turn 1/12 into a percentage?
Divide the top by the bottom to get the decimal, 0.08333..., then multiply by 100 to get 8.333...%.
What is 1/12 as a decimal?
1/12 = 0.08333... It is a recurring decimal: the 3 repeats for ever. To 2 decimal places, it is 0.08.
Is 1/12 more or less than 50%?
1/12 is less than 50%: 0.08333... is less than 0.5. Half of 12 is 6, and 1 is less than 6.
Continue your maths practice
Explore the diagnostic for another way to practise.