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\frac{9+1}{3}+\frac{1}{6}
Multiply 3 and 3 to get 9.
\frac{10}{3}+\frac{1}{6}
Add 9 and 1 to get 10.
\frac{20}{6}+\frac{1}{6}
Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{1}{6} to fractions with denominator 6.
\frac{20+1}{6}
Since \frac{20}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.
\frac{21}{6}
Add 20 and 1 to get 21.
\frac{7}{2}
Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.