0.037037037… as a Fraction

0.037037037… (0.037 repeating) as a fraction is 1/27.

How to convert 0.037037037… to a fraction

  1. Let x = 0.037037037... (the underlined part, 037, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 37.037037037...
  3. Subtract to cancel the repeating tail: 1000x − x = 37 − 0, so 999x = 37.
  4. Solve: x = 37/999. The greatest common divisor is 37, so x = 1/27.

Check

Divide 1 by 27 on a calculator: 1 ÷ 27 = 0.037037037… which matches 0.037037037….

Similar repeating decimals

DecimalFraction
0.020202…2/99
0.0222…1/45
0.027027027…1/37
0.030303…1/33
0.0333…1/30
0.040404…4/99
0.0444…2/45
0.050505…5/99

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