0.979797… as a Fraction

0.979797… (0.97 repeating) as a fraction is 97/99.

How to convert 0.979797… to a fraction

  1. Let x = 0.979797... (the underlined part, 97, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 97.979797...
  3. Subtract to cancel the repeating tail: 100x − x = 97 − 0, so 99x = 97.
  4. Solve: x = 97/99. The greatest common divisor is 1, so x = 97/99 (already in lowest terms).

Check

Divide 97 by 99 on a calculator: 97 ÷ 99 = 0.9797979798… which matches 0.979797….

Similar repeating decimals

DecimalFraction
0.949494…94/99
0.9555…43/45
0.959595…95/99
0.9666…29/30
0.969696…32/33
0.9777…44/45
0.9888…89/90
0.989898…98/99

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