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1/9 as a percentage

1 ÷ 9 × 100 never comes out exactly: it is 11.111...%, which is 11 1/9%.

The answer

1/9 = 11 1/9%

That is 11.1%, where the 1 repeats for ever, or 11.1% to 1 decimal place.

How to turn 1/9 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: 1 ÷ 9 = 0.1, where the 1 repeats for ever.
  2. Multiply by 100, which moves every digit two places to the left: 11.1%, where the 1 repeats for ever.

To write it exactly, divide 100 by 9 and keep the remainder: 100 ÷ 9 = 11 remainder 1. The remainder is 1/9 of a per cent, so 1/9 = 11 1/9%.

Rounded to 1 decimal place, 1/9 is 11.1%. To the nearest whole per cent, it is 11%.

1/9 as a fraction, decimal and percentage

FractionDecimalPercentage
1/90.1, where the 1 repeats for ever11 1/9%

Multiply the top and bottom by the same number and the fraction keeps its value: 1/9, 2/18, 3/27, 4/36 and 5/45 are all equal.

The bar is cut into 9 equal parts and 1 is shaded.

All the ninths

Ninths repeat their top digit for ever: 1/9 = 0.111.... The one exception is 9/9, which is 1.

1/9 sits between 0 and 1/4 (0.25). It is closer to 0.

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 1/9 as a percentage?

1/9 = 11.111...%, which is exactly 11 1/9%. To 1 decimal place, that is 11.1%.

What percentage is 1 out of 9?

1 out of 9 is 11 1/9%, because 1 out of 9 is the fraction 1/9. For a test score, you would usually round it to 1 decimal place: 11.1%.

How do you turn 1/9 into a percentage?

Divide the top by the bottom to get the decimal, 0.111..., then multiply by 100 to get 11.111...%.

What is 1/9 as a decimal?

1/9 = 0.111... It is a recurring decimal: the 1 repeats for ever. To 2 decimal places, it is 0.11.

Is 1/9 more or less than 50%?

1/9 is less than 50%: 0.111... is less than 0.5. Half of 9 is 4.5, and 1 is less 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.