0.171717… as a Fraction

0.171717… (0.17 repeating) as a fraction is 17/99.

How to convert 0.171717… to a fraction

  1. Let x = 0.171717... (the underlined part, 17, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 17.171717...
  3. Subtract to cancel the repeating tail: 100x − x = 17 − 0, so 99x = 17.
  4. Solve: x = 17/99. The greatest common divisor is 1, so x = 17/99 (already in lowest terms).

Check

Divide 17 by 99 on a calculator: 17 ÷ 99 = 0.1717171717… which matches 0.171717….

Similar repeating decimals

DecimalFraction
0.1555…7/45
0.161616…16/99
0.16333…49/300
0.1666…1/6
0.16666…1/6
0.1777…8/45
0.181818…2/11
0.185185185…5/27

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