How to convert this fraction
Divide 2 by 3 using integer long division. The whole-number part is 0; the remaining fraction is 2/3.
- Bring down a zero: remainder × 10 gives the next decimal digit 6; the new remainder is 2.
The remainder repeats, so the decimal repeats with 6 as the repeating cycle. The displayed value 0.666666666667 is rounded; the exact value remains 2/3.
Check: 0 × 3 + 2 = 2, so the quotient and remainder reconstruct the original fraction.