8/11 as a percentage
8 ÷ 11 × 100 never comes out exactly: it is 72.727272...%, which is 72 8/11%.
The answer
8/11 = 72 8/11%
That is 72.72%, where the group 72 repeats for ever, or 72.7% to 1 decimal place.
How to turn 8/11 into a percentage
Per cent means out of 100, so a percentage is a fraction with a bottom of 100.
11 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: 8 ÷ 11 = 0.72, where the group 72 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 72.72%, where the group 72 repeats for ever.
To write it exactly, divide 800 by 11 and keep the remainder: 800 ÷ 11 = 72 remainder 8. The remainder is 8/11 of a per cent, so 8/11 = 72 8/11%.
Rounded to 1 decimal place, 8/11 is 72.7%. To the nearest whole per cent, it is 73%.
8/11 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 8/11 | 0.72, where the group 72 repeats for ever | 72 8/11% |
Multiply the top and bottom by the same number and the fraction keeps its value: 8/11, 16/22, 24/33, 32/44 and 40/55 are all equal.
All the elevenths
Elevenths repeat a pair of digits, and the pair is the top times 9: 8 × 9 = 72, so 8/11 = 0.727272....
8/11 sits between 2/3 (0.666...) and 3/4 (0.75). It is closer to 3/4.
Keep going
Questions parents ask
What is 8/11 as a percentage?
8/11 = 72.727272...%, which is exactly 72 8/11%. To 1 decimal place, that is 72.7%.
What percentage is 8 out of 11?
8 out of 11 is 72 8/11%, because 8 out of 11 is the fraction 8/11. For a test score, you would usually round it to 1 decimal place: 72.7%.
How do you turn 8/11 into a percentage?
Divide the top by the bottom to get the decimal, 0.727272..., then multiply by 100 to get 72.727272...%.
What is 8/11 as a decimal?
8/11 = 0.727272... It is a recurring decimal: the group 72 repeats for ever. To 2 decimal places, it is 0.73.
Is 8/11 more or less than 50%?
8/11 is more than 50%: 0.727272... is more than 0.5. Half of 11 is 5.5, and 8 is more than 5.5.
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.