2/15 as a decimal

How to convert this fraction

Divide 2 by 15 using integer long division. The whole-number part is 0; the remaining fraction is 2/15.

1. Bring down a zero: remainder × 10 gives the next decimal digit 1; 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 0.133333333333 is rounded; the exact value remains 2/15.

Check: 0 × 15 + 2 = 2, so the quotient and remainder reconstruct the original fraction.