0.626262… as a Fraction

0.626262… (0.62 repeating) as a fraction is 62/99.

How to convert 0.626262… to a fraction

  1. Let x = 0.626262... (the underlined part, 62, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 62.626262...
  3. Subtract to cancel the repeating tail: 100x − x = 62 − 0, so 99x = 62.
  4. Solve: x = 62/99. The greatest common divisor is 1, so x = 62/99 (already in lowest terms).

Check

Divide 62 by 99 on a calculator: 62 ÷ 99 = 0.6262626263… which matches 0.626262….

Similar repeating decimals

DecimalFraction
0.606060…20/33
0.6111…11/18
0.615615615…205/333
0.616161…61/99
0.6222…28/45
0.6333…19/30
0.636363…7/11
0.6444…29/45

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