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7/20 as a decimal

Divide 7 by 20, or make the bottom 100: 7/20 = 35/100 = 0.35.

The answer

7/20 = 0.35

How to turn 7/20 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: 7 × 5 = 35.
  3. So 7/20 = 35/100, which is 35 hundredths.

35 hundredths is written 0.35: 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 7, so write 0 and a decimal point, then carry the 7 over as 70 tenths.
  2. 20 goes into 70 3 times, remainder 10. Write 3, 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: 7 ÷ 20 = 0.35.

7/20 as a fraction, decimal and percentage

FractionDecimalPercentage
7/200.3535%

Multiply the top and bottom by the same number and the fraction keeps its value: 7/20, 14/40, 21/60, 28/80 and 35/100 are all equal.

35 squares out of 100 are shaded: 35/100, which is 35%.

All the twentieths

Every twentieth is 5 hundredths: 7/20 is 7 × 5 = 35 hundredths, which is 0.35.

7/20 sits between 1/3 (0.333...) and 1/2 (0.5). It is closer to 1/3.

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 7/20 as a decimal?

7/20 = 0.35.

Is 7/20 a recurring decimal?

No. 20 × 5 = 100, so 7/20 is exactly 35/100 and the decimal stops at 0.35.

Is 7/20 more or less than a half?

7/20 is less than a half: 0.35 is less than 0.5. Half of 20 is 10, and 7 is less than 10.

What is 7/20 as a percentage?

7/20 = 35%.

Which fractions are the same as 7/20?

14/40, 21/60, 28/80, 35/100 and every other fraction you make by multiplying the top and bottom of 7/20 by the same number. They all equal 0.35.

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.