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\frac{3}{6}+\frac{5}{6}
Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{5}{6} to fractions with denominator 6.
\frac{3+5}{6}
Since \frac{3}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.
\frac{8}{6}
Add 3 and 5 to get 8.
\frac{4}{3}
Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.