0.3888… as a Fraction

0.3888… (0.38 repeating) as a fraction is 7/18.

How to convert 0.3888… to a fraction

  1. Let x = 0.3888... (the underlined part, 8, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 38.888...
  3. Move the decimal point past the non-repeating digits too: 10x = 3.8888...
  4. Subtract to cancel the repeating tail: 100x − 10x = 38 − 3, so 90x = 35.
  5. Solve: x = 35/90. The greatest common divisor is 5, so x = 7/18.

Check

Divide 7 by 18 on a calculator: 7 ÷ 18 = 0.3888888889… which matches 0.3888….

Similar repeating decimals

DecimalFraction
0.3666…11/30
0.373737…37/99
0.3777…17/45
0.383838…38/99
0.384384384…128/333
0.393939…13/33
0.404040…40/99
0.4111…37/90

See also: 7/18 as a decimal.

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