0.353535… as a Fraction

0.353535… (0.35 repeating) as a fraction is 35/99.

How to convert 0.353535… to a fraction

  1. Let x = 0.353535... (the underlined part, 35, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 35.353535...
  3. Subtract to cancel the repeating tail: 100x − x = 35 − 0, so 99x = 35.
  4. Solve: x = 35/99. The greatest common divisor is 1, so x = 35/99 (already in lowest terms).

Check

Divide 35 by 99 on a calculator: 35 ÷ 99 = 0.3535353535… which matches 0.353535….

Similar repeating decimals

DecimalFraction
0.333…1/3
0.343434…34/99
0.3444…31/90
0.345345345…115/333
0.3555…16/45
0.363636…4/11
0.3666…11/30
0.373737…37/99

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