0.060606… as a Fraction

0.060606… (0.06 repeating) as a fraction is 2/33.

How to convert 0.060606… to a fraction

  1. Let x = 0.060606... (the underlined part, 06, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 6.060606...
  3. Subtract to cancel the repeating tail: 100x − x = 6 − 0, so 99x = 6.
  4. Solve: x = 6/99. The greatest common divisor is 3, so x = 2/33.

Check

Divide 2 by 33 on a calculator: 2 ÷ 33 = 0.0606060606… which matches 0.060606….

Similar repeating decimals

DecimalFraction
0.0444…2/45
0.050505…5/99
0.054054054…2/37
0.0555…1/18
0.0666…1/15
0.070707…7/99
0.074074074…2/27
0.076076076…76/999

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