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7/9 as a percentage

7 ÷ 9 × 100 never comes out exactly: it is 77.777...%, which is 77 7/9%.

The answer

7/9 = 77 7/9%

That is 77.7%, where the 7 repeats for ever, or 77.8% to 1 decimal place.

How to turn 7/9 into a percentage

Per cent means out of 100, so a percentage is a fraction with a bottom of 100.

9 does not go exactly into 100, so there is no whole-number way to make the bottom 100. Go through the decimal instead:

  1. Divide the top by the bottom: 7 ÷ 9 = 0.7, where the 7 repeats for ever.
  2. Multiply by 100, which moves every digit two places to the left: 77.7%, where the 7 repeats for ever.

To write it exactly, divide 700 by 9 and keep the remainder: 700 ÷ 9 = 77 remainder 7. The remainder is 7/9 of a per cent, so 7/9 = 77 7/9%.

Rounded to 1 decimal place, 7/9 is 77.8%. To the nearest whole per cent, it is 78%.

7/9 as a fraction, decimal and percentage

FractionDecimalPercentage
7/90.7, where the 7 repeats for ever77 7/9%

Multiply the top and bottom by the same number and the fraction keeps its value: 7/9, 14/18, 21/27, 28/36 and 35/45 are all equal.

The bar is cut into 9 equal parts and 7 are shaded.

All the ninths

Ninths repeat their top digit for ever: 7/9 = 0.777.... The one exception is 9/9, which is 1.

7/9 sits between 3/4 (0.75) and 1. It is closer to 3/4.

FractionPercentage
1/911 1/9%
2/922 2/9%
4/944 4/9%
5/955 5/9%
7/977 7/9%
8/988 8/9%

Keep going

Questions parents ask

What is 7/9 as a percentage?

7/9 = 77.777...%, which is exactly 77 7/9%. To 1 decimal place, that is 77.8%.

What percentage is 7 out of 9?

7 out of 9 is 77 7/9%, because 7 out of 9 is the fraction 7/9. For a test score, you would usually round it to 1 decimal place: 77.8%.

How do you turn 7/9 into a percentage?

Divide the top by the bottom to get the decimal, 0.777..., then multiply by 100 to get 77.777...%.

What is 7/9 as a decimal?

7/9 = 0.777... It is a recurring decimal: the 7 repeats for ever. To 2 decimal places, it is 0.78.

Is 7/9 more or less than 50%?

7/9 is more than 50%: 0.777... is more than 0.5. Half of 9 is 4.5, and 7 is more than 4.5.

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.