0.434343… as a Fraction

0.434343… (0.43 repeating) as a fraction is 43/99.

How to convert 0.434343… to a fraction

  1. Let x = 0.434343... (the underlined part, 43, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 43.434343...
  3. Subtract to cancel the repeating tail: 100x − x = 43 − 0, so 99x = 43.
  4. Solve: x = 43/99. The greatest common divisor is 1, so x = 43/99 (already in lowest terms).

Check

Divide 43 by 99 on a calculator: 43 ÷ 99 = 0.4343434343… which matches 0.434343….

Similar repeating decimals

DecimalFraction
0.414141…41/99
0.41666…5/12
0.4222…19/45
0.424242…14/33
0.428428428…428/999
0.4333…13/30
0.444…4/9
0.454545…5/11

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