0.767676… as a Fraction

0.767676… (0.76 repeating) as a fraction is 76/99.

How to convert 0.767676… to a fraction

  1. Let x = 0.767676... (the underlined part, 76, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 76.767676...
  3. Subtract to cancel the repeating tail: 100x − x = 76 − 0, so 99x = 76.
  4. Solve: x = 76/99. The greatest common divisor is 1, so x = 76/99 (already in lowest terms).

Check

Divide 76 by 99 on a calculator: 76 ÷ 99 = 0.7676767677… which matches 0.767676….

Similar repeating decimals

DecimalFraction
0.747474…74/99
0.75333…113/150
0.7555…34/45
0.75666…227/300
0.757575…25/33
0.7666…23/30
0.769769769…769/999
0.777…7/9

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