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13/15 as a decimal

13/15 as a decimal is 0.866666… (the digits 6 repeat forever), which is 0.87 rounded to 2 decimal places.

÷=0.866666…

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 0.87. In lowest terms: 13/15.

See the full steps for these numbers

How to work it out

  1. 1

    A fraction is a division. Divide the top number 13 by the bottom number 15.

    1315=13÷15\frac{13}{15} = 13 \div 15
  2. 2

    15 does not go into 13 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 15, and write the digit. A remainder comes back after 2 steps, so the digits 6 repeat forever.

  4. 4

    The result is

    1315=0.86‾\frac{13}{15} = 0.8\overline{6}
LaTeX source of the formulas on this page
\[ \frac{13}{15} = 0.8\overline{6} \]
\[ \frac{13}{15} = 13 \div 15 \]

Long division of 13 by 15

StepRemainder × 10Divide by 15Remainder left
1130130 ÷ 15 = 810
2100100 ÷ 15 = 610

Questions

What is 13/15 as a decimal?

13/15 as a decimal is 0.866666… (the digits 6 repeat forever), which is 0.87 rounded to 2 decimal places.

Is 13/15 a terminating or a repeating decimal?

It repeats. The bottom number 15 = 3 × 5 has a prime factor other than 2 and 5, so the division never ends and the block 6 (1 digit) repeats.

What is 13/15 as a percent?

13/15 is 86.666666…% as a percent.

How do I round 13/15 to 2 decimal places?

13/15 rounded to 2 decimal places is 0.87.

13/15 in the other form

Fractions with the bottom number 15

Fractions with the top number 13

    13/15 as a decimal: 0.866666… (with steps) | WordGPT