4/9 as a decimal

How to convert this fraction

Divide 4 by 9 using integer long division. The whole-number part is 0; the remaining fraction is 4/9.

1. Bring down a zero: remainder × 10 gives the next decimal digit 4; the new remainder is 4.

The remainder repeats, so the decimal repeats with 4 as the repeating cycle. The displayed value 0.444444444444 is rounded; the exact value remains 4/9.

Check: 0 × 9 + 4 = 4, so the quotient and remainder reconstruct the original fraction.