11/12 as a decimal

How to convert this fraction

Divide 11 by 12 using integer long division. The whole-number part is 0; the remaining fraction is 11/12.

1. Bring down a zero: remainder × 10 gives the next decimal digit 9; the new remainder is 2.
2. Bring down a zero: remainder × 10 gives the next decimal digit 1; the new remainder is 8.
3. Bring down a zero: remainder × 10 gives the next decimal digit 6; the new remainder is 8.

The remainder repeats, so the decimal repeats with 6 as the repeating cycle. The displayed value 0.916666666667 is rounded; the exact value remains 11/12.

Check: 0 × 12 + 11 = 11, so the quotient and remainder reconstruct the original fraction.