0.0444… as a Fraction

0.0444… (0.04 repeating) as a fraction is 2/45.

How to convert 0.0444… to a fraction

  1. Let x = 0.0444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 4.444...
  3. Move the decimal point past the non-repeating digits too: 10x = 0.4444...
  4. Subtract to cancel the repeating tail: 100x − 10x = 4 − 0, so 90x = 4.
  5. Solve: x = 4/90. The greatest common divisor is 2, so x = 2/45.

Check

Divide 2 by 45 on a calculator: 2 ÷ 45 = 0.0444444444… which matches 0.0444….

Similar repeating decimals

DecimalFraction
0.030303…1/33
0.0333…1/30
0.037037037…1/27
0.040404…4/99
0.050505…5/99
0.054054054…2/37
0.0555…1/18
0.060606…2/33

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