5/7 as a percentage
5 ÷ 7 × 100 never comes out exactly: it is 71.428571428571...%, which is 71 3/7%.
The answer
5/7 = 71 3/7%
That is 71.428571%, where the group 428571 repeats for ever, or 71.4% to 1 decimal place.
How to turn 5/7 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.
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: 5 ÷ 7 = 0.714285, where the group 714285 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 71.428571%, where the group 428571 repeats for ever.
To write it exactly, divide 500 by 7 and keep the remainder: 500 ÷ 7 = 71 remainder 3. The remainder is 3/7 of a per cent, so 5/7 = 71 3/7%.
Rounded to 1 decimal place, 5/7 is 71.4%. To the nearest whole per cent, it is 71%.
5/7 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 5/7 | 0.714285, where the group 714285 repeats for ever | 71 3/7% |
Multiply the top and bottom by the same number and the fraction keeps its value: 5/7, 10/14, 15/21, 20/28 and 25/35 are all equal.
All the sevenths
Every proper seventh from 1/7 to 6/7 repeats the same six digits in the same order, 142857, starting at a different digit. 5/7 starts at the 7: 0.714285714285...
5/7 sits between 2/3 (0.666...) and 3/4 (0.75). It is closer to 3/4.
Keep going
Questions parents ask
What is 5/7 as a percentage?
5/7 = 71.428571428571...%, which is exactly 71 3/7%. To 1 decimal place, that is 71.4%.
What percentage is 5 out of 7?
5 out of 7 is 71 3/7%, because 5 out of 7 is the fraction 5/7. For a test score, you would usually round it to 1 decimal place: 71.4%.
How do you turn 5/7 into a percentage?
Divide the top by the bottom to get the decimal, 0.714285714285..., then multiply by 100 to get 71.428571428571...%.
What is 5/7 as a decimal?
5/7 = 0.714285714285... It is a recurring decimal: the group 714285 repeats for ever. To 2 decimal places, it is 0.71.
Is 5/7 more or less than 50%?
5/7 is more than 50%: 0.714285714285... is more than 0.5. Half of 7 is 3.5, and 5 is more than 3.5.
Continue your maths practice
Explore the diagnostic for another way to practise.