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3/20 as a decimal

Divide 3 by 20, or make the bottom 100: 3/20 = 15/100 = 0.15.

The answer

3/20 = 0.15

How to turn 3/20 into a decimal

The quick way is to make an equivalent fraction with a bottom of 100, because hundredths can be written straight down as a decimal.

  1. 20 × 5 = 100.
  2. Do the same to the top: 3 × 5 = 15.
  3. So 3/20 = 15/100, which is 15 hundredths.

15 hundredths is written 0.15: the last digit goes in the hundredths column.

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

  1. 20 does not go into 3, so write 0 and a decimal point, then carry the 3 over as 30 tenths.
  2. 20 goes into 30 once, remainder 10. Write 1, and carry the 10 to make 100.
  3. 20 goes into 100 5 times exactly. Write 5.
  4. The remainder is 0, so the division stops: 3 ÷ 20 = 0.15.

3/20 as a fraction, decimal and percentage

FractionDecimalPercentage
3/200.1515%

Multiply the top and bottom by the same number and the fraction keeps its value: 3/20, 6/40, 9/60, 12/80 and 15/100 are all equal.

15 squares out of 100 are shaded: 15/100, which is 15%.

All the twentieths

Every twentieth is 5 hundredths: 3/20 is 3 × 5 = 15 hundredths, which is 0.15.

3/20 sits between 0 and 1/4 (0.25). It is closer to 1/4.

FractionDecimal
1/200.05
3/200.15
7/200.35
9/200.45
11/200.55
13/200.65
17/200.85
19/200.95

Keep going

Questions parents ask

What is 3/20 as a decimal?

3/20 = 0.15.

Is 3/20 a recurring decimal?

No. 20 × 5 = 100, so 3/20 is exactly 15/100 and the decimal stops at 0.15.

Is 3/20 more or less than a half?

3/20 is less than a half: 0.15 is less than 0.5. Half of 20 is 10, and 3 is less than 10.

What is 3/20 as a percentage?

3/20 = 15%.

Which fractions are the same as 3/20?

6/40, 9/60, 12/80, 15/100 and every other fraction you make by multiplying the top and bottom of 3/20 by the same number. They all equal 0.15.

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.