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2/5 as a decimal

Divide 2 by 5, or make the bottom 10: 2/5 = 4/10 = 0.4.

The answer

2/5 = 0.4

How to turn 2/5 into a decimal

The quick way is to make an equivalent fraction with a bottom of 10, because tenths can be written straight down as a decimal.

  1. 5 × 2 = 10.
  2. Do the same to the top: 2 × 2 = 4.
  3. So 2/5 = 4/10, which is 4 tenths.

4 tenths is written 0.4: the last digit goes in the tenths column.

You can also divide the top by the bottom. Short division gives the same answer:

  1. 5 does not go into 2, so write 0 and a decimal point, then carry the 2 over as 20 tenths.
  2. 5 goes into 20 4 times exactly. Write 4.
  3. The remainder is 0, so the division stops: 2 ÷ 5 = 0.4.

2/5 as a fraction, decimal and percentage

FractionDecimalPercentage
2/50.440%

Multiply the top and bottom by the same number and the fraction keeps its value: 2/5, 4/10, 6/15, 8/20 and 10/25 are all equal.

Looking for 4/10? It is the same as 2/5, so it gives the same decimal and percentage.

40 squares out of 100 are shaded: 40/100, which is 40%.

All the fifths

Every fifth is 2 tenths: 2/5 is 2 × 2 = 4 tenths, which is 0.4.

2/5 sits between 1/3 (0.333...) and 1/2 (0.5). It is closer to 1/3.

FractionDecimal
1/50.2
2/50.4
3/50.6
4/50.8

Shade 2/5 on a fraction wall

The wall opens with 2/5 shaded in the fifths row. Look straight down: the shading ends in exactly the same place in 4/10, so it is equal to 2/5. Tap other pieces to try more fractions.

A fraction wall from halves to tenths, opening on 2/5.

Keep going

Questions parents ask

What is 2/5 as a decimal?

2/5 = 0.4.

Is 2/5 a recurring decimal?

No. 5 × 2 = 10, so 2/5 is exactly 4/10 and the decimal stops at 0.4.

Is 2/5 more or less than a half?

2/5 is less than a half: 0.4 is less than 0.5. Half of 5 is 2.5, and 2 is less than 2.5.

What is 2/5 as a percentage?

2/5 = 40%.

Which fractions are the same as 2/5?

4/10, 6/15, 8/20, 10/25 and every other fraction you make by multiplying the top and bottom of 2/5 by the same number. They all equal 0.4.

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.