0.959595… as a Fraction

0.959595… (0.95 repeating) as a fraction is 95/99.

How to convert 0.959595… to a fraction

  1. Let x = 0.959595... (the underlined part, 95, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 95.959595...
  3. Subtract to cancel the repeating tail: 100x − x = 95 − 0, so 99x = 95.
  4. Solve: x = 95/99. The greatest common divisor is 1, so x = 95/99 (already in lowest terms).

Check

Divide 95 by 99 on a calculator: 95 ÷ 99 = 0.9595959596… which matches 0.959595….

Similar repeating decimals

DecimalFraction
0.939393…31/33
0.9444…17/18
0.949494…94/99
0.9555…43/45
0.9666…29/30
0.969696…32/33
0.9777…44/45
0.979797…97/99

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