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8/9 as a percentage

8 ÷ 9 × 100 never comes out exactly: it is 88.888...%, which is 88 8/9%.

The answer

8/9 = 88 8/9%

That is 88.8%, where the 8 repeats for ever, or 88.9% to 1 decimal place.

How to turn 8/9 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: 8 ÷ 9 = 0.8, where the 8 repeats for ever.
  2. Multiply by 100, which moves every digit two places to the left: 88.8%, where the 8 repeats for ever.

To write it exactly, divide 800 by 9 and keep the remainder: 800 ÷ 9 = 88 remainder 8. The remainder is 8/9 of a per cent, so 8/9 = 88 8/9%.

Rounded to 1 decimal place, 8/9 is 88.9%. To the nearest whole per cent, it is 89%.

8/9 as a fraction, decimal and percentage

FractionDecimalPercentage
8/90.8, where the 8 repeats for ever88 8/9%

Multiply the top and bottom by the same number and the fraction keeps its value: 8/9, 16/18, 24/27, 32/36 and 40/45 are all equal.

The bar is cut into 9 equal parts and 8 are shaded.

All the ninths

Ninths repeat their top digit for ever: 8/9 = 0.888.... The one exception is 9/9, which is 1.

8/9 sits between 3/4 (0.75) and 1. It is closer to 1.

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 8/9 as a percentage?

8/9 = 88.888...%, which is exactly 88 8/9%. To 1 decimal place, that is 88.9%.

What percentage is 8 out of 9?

8 out of 9 is 88 8/9%, because 8 out of 9 is the fraction 8/9. For a test score, you would usually round it to 1 decimal place: 88.9%.

How do you turn 8/9 into a percentage?

Divide the top by the bottom to get the decimal, 0.888..., then multiply by 100 to get 88.888...%.

What is 8/9 as a decimal?

8/9 = 0.888... It is a recurring decimal: the 8 repeats for ever. To 2 decimal places, it is 0.89.

Is 8/9 more or less than 50%?

8/9 is more than 50%: 0.888... is more than 0.5. Half of 9 is 4.5, and 8 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.