0.949494… as a Fraction

0.949494… (0.94 repeating) as a fraction is 94/99.

How to convert 0.949494… to a fraction

  1. Let x = 0.949494... (the underlined part, 94, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 94.949494...
  3. Subtract to cancel the repeating tail: 100x − x = 94 − 0, so 99x = 94.
  4. Solve: x = 94/99. The greatest common divisor is 1, so x = 94/99 (already in lowest terms).

Check

Divide 94 by 99 on a calculator: 94 ÷ 99 = 0.9494949495… which matches 0.949494….

Similar repeating decimals

DecimalFraction
0.929292…92/99
0.9333…14/15
0.939393…31/33
0.9444…17/18
0.9555…43/45
0.959595…95/99
0.9666…29/30
0.969696…32/33

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