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\frac{4}{3}+\frac{13}{6}
Add 7 and 6 to get 13.
\frac{8}{6}+\frac{13}{6}
Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{13}{6} to fractions with denominator 6.
\frac{8+13}{6}
Since \frac{8}{6} and \frac{13}{6} have the same denominator, add them by adding their numerators.
\frac{21}{6}
Add 8 and 13 to get 21.
\frac{7}{2}
Reduce the fraction \frac{21}{6} to lowest terms by extracting and canceling out 3.