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19/20 as a decimal

Divide 19 by 20, or make the bottom 100: 19/20 = 95/100 = 0.95.

The answer

19/20 = 0.95

How to turn 19/20 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: 19 × 5 = 95.
  3. So 19/20 = 95/100, which is 95 hundredths.

95 hundredths is written 0.95: 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 19, so write 0 and a decimal point, then carry the 19 over as 190 tenths.
  2. 20 goes into 190 9 times, remainder 10. Write 9, 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: 19 ÷ 20 = 0.95.

19/20 as a fraction, decimal and percentage

FractionDecimalPercentage
19/200.9595%

Multiply the top and bottom by the same number and the fraction keeps its value: 19/20, 38/40, 57/60, 76/80 and 95/100 are all equal.

95 squares out of 100 are shaded: 95/100, which is 95%.

All the twentieths

Every twentieth is 5 hundredths: 19/20 is 19 × 5 = 95 hundredths, which is 0.95.

19/20 sits between 3/4 (0.75) and 1. It is closer to 1.

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 19/20 as a decimal?

19/20 = 0.95.

Is 19/20 a recurring decimal?

No. 20 × 5 = 100, so 19/20 is exactly 95/100 and the decimal stops at 0.95.

Is 19/20 more or less than a half?

19/20 is more than a half: 0.95 is more than 0.5. Half of 20 is 10, and 19 is more than 10.

What is 19/20 as a percentage?

19/20 = 95%.

Which fractions are the same as 19/20?

38/40, 57/60, 76/80, 95/100 and every other fraction you make by multiplying the top and bottom of 19/20 by the same number. They all equal 0.95.

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.