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13/15 as a percent

13/15 as a percent is 86.666666…% (the digits 6 repeat forever), which is 86.67% rounded to 2 decimal places.

÷=86.666666…%

Change either number to try your own. The digits 6 repeat. Rounded to 2 places: 86.67%. In lowest terms: 13/15.

See the full steps for these numbers

How to work it out

  1. 1

    Multiply by 100 to get a percent: 13/15 × 100 = 1300/15. Then divide 1300 by 15.

    1315×100=130015\frac{13}{15} \times 100 = \frac{1300}{15}
  2. 2

    15 goes into 1300 86 times with 10 left over, so the whole part is 86.

  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 1 step, so the digits 6 repeat forever.

  4. 4

    The result is

    1315=86.6‾%\frac{13}{15} = 86.\overline{6}\%
LaTeX source of the formulas on this page
\[ \frac{13}{15} = 86.\overline{6}\% \]
\[ \frac{13}{15} \times 100 = \frac{1300}{15} \]

Long division of 1300 by 15

StepRemainder × 10Divide by 15Remainder left
1100100 ÷ 15 = 610

Questions

What is 13/15 as a percent?

13/15 as a percent is 86.666666…% (the digits 6 repeat forever), which is 86.67% 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 decimal?

13/15 is 0.866666… as a decimal.

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

13/15 rounded to 2 decimal places is 86.67%.

13/15 in the other form

Fractions with the bottom number 15

Fractions with the top number 13

    13/15 as a percent: 86.666666…% (with steps) | WordGPT