11/15 as a decimal

How to convert this fraction

Divide 11 by 15 using integer long division. The whole-number part is 0; the remaining fraction is 11/15.

1. Bring down a zero: remainder × 10 gives the next decimal digit 7; the new remainder is 5.
2. Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 5.

The remainder repeats, so the decimal repeats with 3 as the repeating cycle. The displayed value 0.733333333333 is rounded; the exact value remains 11/15.

Check: 0 × 15 + 11 = 11, so the quotient and remainder reconstruct the original fraction.