0.307307307… as a Fraction

0.307307307… (0.307 repeating) as a fraction is 307/999.

How to convert 0.307307307… to a fraction

  1. Let x = 0.307307307... (the underlined part, 307, repeats forever).
  2. Move the decimal point past one full repeating block: 1000x = 307.307307307...
  3. Subtract to cancel the repeating tail: 1000x − x = 307 − 0, so 999x = 307.
  4. Solve: x = 307/999. The greatest common divisor is 1, so x = 307/999 (already in lowest terms).

Check

Divide 307 by 999 on a calculator: 307 ÷ 999 = 0.3073073073… which matches 0.307307307….

Similar repeating decimals

DecimalFraction
0.285285285…95/333
0.2888…13/45
0.292929…29/99
0.303030…10/33
0.3111…14/45
0.313131…31/99
0.3222…29/90
0.323232…32/99

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