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13/20 as a decimal

Divide 13 by 20, or make the bottom 100: 13/20 = 65/100 = 0.65.

The answer

13/20 = 0.65

How to turn 13/20 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: 13 × 5 = 65.
  3. So 13/20 = 65/100, which is 65 hundredths.

65 hundredths is written 0.65: 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 13, so write 0 and a decimal point, then carry the 13 over as 130 tenths.
  2. 20 goes into 130 6 times, remainder 10. Write 6, 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: 13 ÷ 20 = 0.65.

13/20 as a fraction, decimal and percentage

FractionDecimalPercentage
13/200.6565%

Multiply the top and bottom by the same number and the fraction keeps its value: 13/20, 26/40, 39/60, 52/80 and 65/100 are all equal.

65 squares out of 100 are shaded: 65/100, which is 65%.

All the twentieths

Every twentieth is 5 hundredths: 13/20 is 13 × 5 = 65 hundredths, which is 0.65.

13/20 sits between 1/2 (0.5) and 2/3 (0.666...). It is closer to 2/3.

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 13/20 as a decimal?

13/20 = 0.65.

Is 13/20 a recurring decimal?

No. 20 × 5 = 100, so 13/20 is exactly 65/100 and the decimal stops at 0.65.

Is 13/20 more or less than a half?

13/20 is more than a half: 0.65 is more than 0.5. Half of 20 is 10, and 13 is more than 10.

What is 13/20 as a percentage?

13/20 = 65%.

Which fractions are the same as 13/20?

26/40, 39/60, 52/80, 65/100 and every other fraction you make by multiplying the top and bottom of 13/20 by the same number. They all equal 0.65.

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.