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\frac{15+2}{5}+\frac{6}{9}
Multiply 3 and 5 to get 15.
\frac{17}{5}+\frac{6}{9}
Add 15 and 2 to get 17.
\frac{17}{5}+\frac{2}{3}
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.
\frac{51}{15}+\frac{10}{15}
Least common multiple of 5 and 3 is 15. Convert \frac{17}{5} and \frac{2}{3} to fractions with denominator 15.
\frac{51+10}{15}
Since \frac{51}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.
\frac{61}{15}
Add 51 and 10 to get 61.