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15/74 as a decimal

15/74 as a decimal is 0.202702… (the digits 027 repeat forever), which is 0.20 rounded to 2 decimal places.

÷=0.202702…

Change either number to try your own. The digits 027 repeat. Rounded to 2 places: 0.20. In lowest terms: 15/74.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 15 by the bottom number 74.

    1574=15÷74\frac{15}{74} = 15 \div 74
  2. 2

    74 does not go into 15 even once, so the whole part is 0 and we carry on after the decimal point.

  3. 3

    Long division: bring down a zero each time (multiply the remainder by 10), divide by 74, and write the digit. A remainder comes back after 4 steps, so the digits 027 repeat forever.

  4. 4

    The result is

    1574=0.2027‾\frac{15}{74} = 0.2\overline{027}
LaTeX source of the formulas on this page
\[ \frac{15}{74} = 0.2\overline{027} \]
\[ \frac{15}{74} = 15 \div 74 \]

Long division of 15 by 74

StepRemainder × 10Divide by 74Remainder left
1150150 ÷ 74 = 22
22020 ÷ 74 = 020
3200200 ÷ 74 = 252
4520520 ÷ 74 = 72

Questions

What is 15/74 as a decimal?

15/74 as a decimal is 0.202702… (the digits 027 repeat forever), which is 0.20 rounded to 2 decimal places.

Is 15/74 a terminating or a repeating decimal?

It repeats. The bottom number 74 = 2 × 37 has a prime factor other than 2 and 5, so the division never ends and the block 027 (3 digits) repeats.

What is 15/74 as a percent?

15/74 is 20.270270…% as a percent.

How do I round 15/74 to 2 decimal places?

15/74 rounded to 2 decimal places is 0.20.

15/74 in the other form

Fractions with the bottom number 74

Fractions with the top number 15

    15/74 as a decimal: 0.202702… (with steps) | WordGPT