How to convert this fraction
Divide 7 by 3 using integer long division. The whole-number part is 2; the remaining fraction is 1/3.
- Bring down a zero: remainder × 10 gives the next decimal digit 3; the new remainder is 1.
The remainder repeats, so the decimal repeats with 3 as the repeating cycle. The displayed value 2.333333333333 is rounded; the exact value remains 7/3.
As a mixed-number decomposition: 7/3 = 2 + 1/3.
Check: 2 × 3 + 1 = 7, so the quotient and remainder reconstruct the original fraction.