0.717171… as a Fraction

0.717171… (0.71 repeating) as a fraction is 71/99.

How to convert 0.717171… to a fraction

  1. Let x = 0.717171... (the underlined part, 71, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 71.717171...
  3. Subtract to cancel the repeating tail: 100x − x = 71 − 0, so 99x = 71.
  4. Solve: x = 71/99. The greatest common divisor is 1, so x = 71/99 (already in lowest terms).

Check

Divide 71 by 99 on a calculator: 71 ÷ 99 = 0.7171717172… which matches 0.717171….

Similar repeating decimals

DecimalFraction
0.696969…23/33
0.707070…70/99
0.7111…32/45
0.714714714…238/333
0.7222…13/18
0.727272…8/11
0.7333…11/15
0.737373…73/99

Another decimal? Browse the repeating decimal to fraction chart, the terminating decimal chart, or use the decimal to fraction converter.