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What is 0.86 repeating as a fraction?

0.86666…=

0.86 repeating as a fraction is 13/15 — exactly, not rounded. As a percent it is ≈ 86.67%.

Improper fraction 13/15Percent ≈ 86.67%Before simplifying 78/90

How to convert 0.86666… to a fraction

  1. Let x = 0.866… The repeating block "6" has 1 digit.
  2. Multiply by 10^2 and by 10^1 so the repeating tails line up, then subtract.
    100x − 10x = 86 − 8
  3. That gives 90x = 78, so x = 78/90.
  4. Simplify by dividing top and bottom by the GCF, 6.
    78/90 = 13/15

Fractions equal to 13/15

26/30 = 39/45 = 52/60 = 65/75 = 130/150 = 13/15. All are equivalent; 13/15 is the one in lowest terms.

Convert another value with the decimal to fraction converter, see neighbours in the fraction chart, or browse every decimal we list.

Questions people ask

What is 0.86 repeating as a fraction?

0.86666… (0.86 repeating) is exactly 13/15. A repeating decimal is never "about" a fraction: the repeating digits make it equal to 13/15 exactly.

How do you turn 0.86 repeating into a fraction?

Call the number x, multiply it by a power of 10 so the repeating tails line up, and subtract. The tails cancel, leaving 78/90, which simplifies to 13/15.

What is 0.86 repeating as a percent?

13/15 × 100 ≈ 86.67% (the digits keep repeating, so this is rounded to 2 places).