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3/25 as a decimal

Divide 3 by 25, or make the bottom 100: 3/25 = 12/100 = 0.12.

The answer

3/25 = 0.12

How to turn 3/25 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. 25 × 4 = 100.
  2. Do the same to the top: 3 × 4 = 12.
  3. So 3/25 = 12/100, which is 12 hundredths.

12 hundredths is written 0.12: the last digit goes in the hundredths column.

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

  1. 25 does not go into 3, so write 0 and a decimal point, then carry the 3 over as 30 tenths.
  2. 25 goes into 30 once, remainder 5. Write 1, and carry the 5 to make 50.
  3. 25 goes into 50 2 times exactly. Write 2.
  4. The remainder is 0, so the division stops: 3 ÷ 25 = 0.12.

3/25 as a fraction, decimal and percentage

FractionDecimalPercentage
3/250.1212%

Multiply the top and bottom by the same number and the fraction keeps its value: 3/25, 6/50, 9/75, 12/100 and 15/125 are all equal.

12 squares out of 100 are shaded: 12/100, which is 12%.

All the twenty-fifths

Every twenty-fifth is 4 hundredths: 3/25 is 3 × 4 = 12 hundredths, which is 0.12.

3/25 sits between 0 and 1/4 (0.25). It is closer to 0.

FractionDecimal
1/250.04
2/250.08
3/250.12
4/250.16

Keep going

Questions parents ask

What is 3/25 as a decimal?

3/25 = 0.12.

Is 3/25 a recurring decimal?

No. 25 × 4 = 100, so 3/25 is exactly 12/100 and the decimal stops at 0.12.

Is 3/25 more or less than a half?

3/25 is less than a half: 0.12 is less than 0.5. Half of 25 is 12.5, and 3 is less than 12.5.

What is 3/25 as a percentage?

3/25 = 12%.

Which fractions are the same as 3/25?

6/50, 9/75, 12/100, 15/125 and every other fraction you make by multiplying the top and bottom of 3/25 by the same number. They all equal 0.12.

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.