0.737373… as a Fraction

0.737373… (0.73 repeating) as a fraction is 73/99.

How to convert 0.737373… to a fraction

  1. Let x = 0.737373... (the underlined part, 73, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 73.737373...
  3. Subtract to cancel the repeating tail: 100x − x = 73 − 0, so 99x = 73.
  4. Solve: x = 73/99. The greatest common divisor is 1, so x = 73/99 (already in lowest terms).

Check

Divide 73 by 99 on a calculator: 73 ÷ 99 = 0.7373737374… which matches 0.737373….

Similar repeating decimals

DecimalFraction
0.7222…13/18
0.727272…8/11
0.7333…11/15
0.7444…67/90
0.747474…74/99
0.75333…113/150
0.7555…34/45
0.75666…227/300

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