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3/8 as a percentage

Divide 3 by 8 to get 0.375, then multiply by 100: 37.5%.

The answer

3/8 = 37.5%

How to turn 3/8 into a percentage

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

8 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: 3 ÷ 8 = 0.375.
  2. Multiply by 100, which moves every digit two places to the left: 37.5%.

3/8 as a fraction, decimal and percentage

FractionDecimalPercentage
3/80.37537.5%

Multiply the top and bottom by the same number and the fraction keeps its value: 3/8, 6/16, 9/24, 12/32 and 15/40 are all equal.

The bar is cut into 8 equal parts and 3 are shaded.

All the eighths

Every eighth is 125 thousandths: 3/8 is 3 × 125 = 375 thousandths, which is 0.375. An eighth is also half of a quarter: half of 0.25 is 0.125.

3/8 sits between 1/3 (0.333...) and 1/2 (0.5). It is closer to 1/3.

FractionPercentage
1/812.5%
3/837.5%
5/862.5%
7/887.5%

Shade 3/8 on a fraction wall

The wall opens with 3/8 shaded in the eighths row. Look straight down: no other row ends in exactly the same place, so no other fraction on this wall equals 3/8. Tap other pieces to try more fractions.

A fraction wall from halves to tenths, opening on 3/8.

Keep going

Questions parents ask

What is 3/8 as a percentage?

3/8 = 37.5%.

What percentage is 3 out of 8?

3 out of 8 is 37.5%, because 3 out of 8 is the fraction 3/8.

How do you turn 3/8 into a percentage?

Divide the top by the bottom to get the decimal, 0.375, then multiply by 100 to get 37.5%.

What is 3/8 as a decimal?

3/8 = 0.375. To 2 decimal places, that is 0.38.

Is 3/8 more or less than 50%?

3/8 is less than 50%: 0.375 is less than 0.5. Half of 8 is 4, and 3 is less than 4.

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.