How to convert this fraction
Divide 5 by 3 using integer long division. The whole-number part is 1; 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 1.666666666667 is rounded; the exact value remains 5/3.
As a mixed-number decomposition: 5/3 = 1 + 2/3.
Check: 1 × 3 + 2 = 5, so the quotient and remainder reconstruct the original fraction.