0.747474… as a Fraction

0.747474… (0.74 repeating) as a fraction is 74/99.

How to convert 0.747474… to a fraction

  1. Let x = 0.747474... (the underlined part, 74, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 74.747474...
  3. Subtract to cancel the repeating tail: 100x − x = 74 − 0, so 99x = 74.
  4. Solve: x = 74/99. The greatest common divisor is 1, so x = 74/99 (already in lowest terms).

Check

Divide 74 by 99 on a calculator: 74 ÷ 99 = 0.7474747475… which matches 0.747474….

Similar repeating decimals

DecimalFraction
0.7333…11/15
0.737373…73/99
0.7444…67/90
0.75333…113/150
0.7555…34/45
0.75666…227/300
0.757575…25/33
0.7666…23/30

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