How to convert this fraction
Divide 2 by 9 using integer long division. The whole-number part is 0; the remaining fraction is 2/9.
- Bring down a zero: remainder × 10 gives the next decimal digit 2; the new remainder is 2.
The remainder repeats, so the decimal repeats with 2 as the repeating cycle. The displayed value 0.222222222222 is rounded; the exact value remains 2/9.
Check: 0 × 9 + 2 = 2, so the quotient and remainder reconstruct the original fraction.