5/9 as a decimal

How to convert this fraction

Divide 5 by 9 using integer long division. The whole-number part is 0; the remaining fraction is 5/9.

1. Bring down a zero: remainder × 10 gives the next decimal digit 5; the new remainder is 5.

The remainder repeats, so the decimal repeats with 5 as the repeating cycle. The displayed value 0.555555555556 is rounded; the exact value remains 5/9.

Check: 0 × 9 + 5 = 5, so the quotient and remainder reconstruct the original fraction.