6/7 as a percentage
6 ÷ 7 × 100 never comes out exactly: it is 85.714285714285...%, which is 85 5/7%.
The answer
6/7 = 85 5/7%
That is 85.714285%, where the group 714285 repeats for ever, or 85.7% to 1 decimal place.
How to turn 6/7 into a percentage
Per cent means out of 100, so a percentage is a fraction with a bottom of 100.
7 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: 6 ÷ 7 = 0.857142, where the group 857142 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 85.714285%, where the group 714285 repeats for ever.
To write it exactly, divide 600 by 7 and keep the remainder: 600 ÷ 7 = 85 remainder 5. The remainder is 5/7 of a per cent, so 6/7 = 85 5/7%.
Rounded to 1 decimal place, 6/7 is 85.7%. To the nearest whole per cent, it is 86%.
6/7 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 6/7 | 0.857142, where the group 857142 repeats for ever | 85 5/7% |
Multiply the top and bottom by the same number and the fraction keeps its value: 6/7, 12/14, 18/21, 24/28 and 30/35 are all equal.
All the sevenths
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Questions parents ask
What is 6/7 as a percentage?
6/7 = 85.714285714285...%, which is exactly 85 5/7%. To 1 decimal place, that is 85.7%.
What percentage is 6 out of 7?
6 out of 7 is 85 5/7%, because 6 out of 7 is the fraction 6/7. For a test score, you would usually round it to 1 decimal place: 85.7%.
How do you turn 6/7 into a percentage?
Divide the top by the bottom to get the decimal, 0.857142857142..., then multiply by 100 to get 85.714285714285...%.
What is 6/7 as a decimal?
6/7 = 0.857142857142... It is a recurring decimal: the group 857142 repeats for ever. To 2 decimal places, it is 0.86.
Is 6/7 more or less than 50%?
6/7 is more than 50%: 0.857142857142... is more than 0.5. Half of 7 is 3.5, and 6 is more than 3.5.
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.