0.6222… as a Fraction

0.6222… (0.62 repeating) as a fraction is 28/45.

How to convert 0.6222… to a fraction

  1. Let x = 0.6222... (the underlined part, 2, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 62.222...
  3. Move the decimal point past the non-repeating digits too: 10x = 6.2222...
  4. Subtract to cancel the repeating tail: 100x − 10x = 62 − 6, so 90x = 56.
  5. Solve: x = 56/90. The greatest common divisor is 2, so x = 28/45.

Check

Divide 28 by 45 on a calculator: 28 ÷ 45 = 0.6222222222… which matches 0.6222….

Similar repeating decimals

DecimalFraction
0.606060…20/33
0.6111…11/18
0.615615615…205/333
0.616161…61/99
0.626262…62/99
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.