0.1444… as a Fraction

0.1444… (0.14 repeating) as a fraction is 13/90.

How to convert 0.1444… to a fraction

  1. Let x = 0.1444... (the underlined part, 4, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 14.444...
  3. Move the decimal point past the non-repeating digits too: 10x = 1.4444...
  4. Subtract to cancel the repeating tail: 100x − 10x = 14 − 1, so 90x = 13.
  5. Solve: x = 13/90. The greatest common divisor is 1, so x = 13/90 (already in lowest terms).

Check

Divide 13 by 90 on a calculator: 13 ÷ 90 = 0.1444444444… which matches 0.1444….

Similar repeating decimals

DecimalFraction
0.1333…2/15
0.135135135…5/37
0.141414…14/99
0.142142142…142/999
0.142857142857142857…1/7
0.151515…5/33
0.153153153…17/111
0.1555…7/45

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