How to convert this fraction
Divide 8 by 3 using integer long division. The whole-number part is 2; 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 2.666666666667 is rounded; the exact value remains 8/3.
As a mixed-number decomposition: 8/3 = 2 + 2/3.
Check: 2 × 3 + 2 = 8, so the quotient and remainder reconstruct the original fraction.