3/7 as a percentage
3 ÷ 7 × 100 never comes out exactly: it is 42.857142857142...%, which is 42 6/7%.
The answer
3/7 = 42 6/7%
That is 42.857142%, where the group 857142 repeats for ever, or 42.9% to 1 decimal place.
How to turn 3/7 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: 3 ÷ 7 = 0.428571, where the group 428571 repeats for ever.
- Multiply by 100, which moves every digit two places to the left: 42.857142%, where the group 857142 repeats for ever.
To write it exactly, divide 300 by 7 and keep the remainder: 300 ÷ 7 = 42 remainder 6. The remainder is 6/7 of a per cent, so 3/7 = 42 6/7%.
Rounded to 1 decimal place, 3/7 is 42.9%. To the nearest whole per cent, it is 43%.
3/7 as a fraction, decimal and percentage
| Fraction | Decimal | Percentage |
|---|---|---|
| 3/7 | 0.428571, where the group 428571 repeats for ever | 42 6/7% |
Multiply the top and bottom by the same number and the fraction keeps its value: 3/7, 6/14, 9/21, 12/28 and 15/35 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. 3/7 starts at the 4: 0.428571428571...
3/7 sits between 1/3 (0.333...) and 1/2 (0.5). It is closer to 1/2.
Keep going
Questions parents ask
What is 3/7 as a percentage?
3/7 = 42.857142857142...%, which is exactly 42 6/7%. To 1 decimal place, that is 42.9%.
What percentage is 3 out of 7?
3 out of 7 is 42 6/7%, because 3 out of 7 is the fraction 3/7. For a test score, you would usually round it to 1 decimal place: 42.9%.
How do you turn 3/7 into a percentage?
Divide the top by the bottom to get the decimal, 0.428571428571..., then multiply by 100 to get 42.857142857142...%.
What is 3/7 as a decimal?
3/7 = 0.428571428571... It is a recurring decimal: the group 428571 repeats for ever. To 2 decimal places, it is 0.43.
Is 3/7 more or less than 50%?
3/7 is less than 50%: 0.428571428571... is less than 0.5. Half of 7 is 3.5, and 3 is less than 3.5.
Continue your maths practice
Explore the diagnostic for another way to practise.