0.9444… as a Fraction

0.9444… (0.94 repeating) as a fraction is 17/18.

How to convert 0.9444… to a fraction

  1. Let x = 0.9444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 94.444...
  3. Move the decimal point past the non-repeating digits too: 10x = 9.4444...
  4. Subtract to cancel the repeating tail: 100x − 10x = 94 − 9, so 90x = 85.
  5. Solve: x = 85/90. The greatest common divisor is 5, so x = 17/18.

Check

Divide 17 by 18 on a calculator: 17 ÷ 18 = 0.9444444444… which matches 0.9444….

Similar repeating decimals

DecimalFraction
0.9222…83/90
0.923923923…923/999
0.929292…92/99
0.9333…14/15
0.939393…31/33
0.949494…94/99
0.9555…43/45
0.959595…95/99

See also: 17/18 as a decimal.

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