0.373737… as a Fraction

0.373737… (0.37 repeating) as a fraction is 37/99.

How to convert 0.373737… to a fraction

  1. Let x = 0.373737... (the underlined part, 37, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 37.373737...
  3. Subtract to cancel the repeating tail: 100x − x = 37 − 0, so 99x = 37.
  4. Solve: x = 37/99. The greatest common divisor is 1, so x = 37/99 (already in lowest terms).

Check

Divide 37 by 99 on a calculator: 37 ÷ 99 = 0.3737373737… which matches 0.373737….

Similar repeating decimals

DecimalFraction
0.3555…16/45
0.363636…4/11
0.3666…11/30
0.3777…17/45
0.383838…38/99
0.384384384…128/333
0.3888…7/18
0.393939…13/33

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