0.076076076… as a Fraction

0.076076076… (0.076 repeating) as a fraction is 76/999.

How to convert 0.076076076… to a fraction

  1. Let x = 0.076076076... (the underlined part, 076, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 76.076076076...
  3. Subtract to cancel the repeating tail: 1000x − x = 76 − 0, so 999x = 76.
  4. Solve: x = 76/999. The greatest common divisor is 1, so x = 76/999 (already in lowest terms).

Check

Divide 76 by 999 on a calculator: 76 ÷ 999 = 0.0760760761… which matches 0.076076076….

Similar repeating decimals

DecimalFraction
0.0666…1/15
0.070707…7/99
0.074074074…2/27
0.076923076923076923…1/13
0.0777…7/90
0.080808…8/99
0.081081081…3/37
0.08333…1/12

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