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5/9 as a percentage

5 ÷ 9 × 100 never comes out exactly: it is 55.555...%, which is 55 5/9%.

The answer

5/9 = 55 5/9%

That is 55.5%, where the 5 repeats for ever, or 55.6% to 1 decimal place.

How to turn 5/9 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: 5 ÷ 9 = 0.5, where the 5 repeats for ever.
  2. Multiply by 100, which moves every digit two places to the left: 55.5%, where the 5 repeats for ever.

To write it exactly, divide 500 by 9 and keep the remainder: 500 ÷ 9 = 55 remainder 5. The remainder is 5/9 of a per cent, so 5/9 = 55 5/9%.

Rounded to 1 decimal place, 5/9 is 55.6%. To the nearest whole per cent, it is 56%.

5/9 as a fraction, decimal and percentage

FractionDecimalPercentage
5/90.5, where the 5 repeats for ever55 5/9%

Multiply the top and bottom by the same number and the fraction keeps its value: 5/9, 10/18, 15/27, 20/36 and 25/45 are all equal.

The bar is cut into 9 equal parts and 5 are shaded.

All the ninths

Ninths repeat their top digit for ever: 5/9 = 0.555.... The one exception is 9/9, which is 1.

5/9 sits between 1/2 (0.5) and 2/3 (0.666...). It is closer to 1/2.

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 5/9 as a percentage?

5/9 = 55.555...%, which is exactly 55 5/9%. To 1 decimal place, that is 55.6%.

What percentage is 5 out of 9?

5 out of 9 is 55 5/9%, because 5 out of 9 is the fraction 5/9. For a test score, you would usually round it to 1 decimal place: 55.6%.

How do you turn 5/9 into a percentage?

Divide the top by the bottom to get the decimal, 0.555..., then multiply by 100 to get 55.555...%.

What is 5/9 as a decimal?

5/9 = 0.555... It is a recurring decimal: the 5 repeats for ever. To 2 decimal places, it is 0.56.

Is 5/9 more or less than 50%?

5/9 is more than 50%: 0.555... is more than 0.5. Half of 9 is 4.5, and 5 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.