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\frac{15+7}{15}+\frac{3}{5}
Multiply 1 and 15 to get 15.
\frac{22}{15}+\frac{3}{5}
Add 15 and 7 to get 22.
\frac{22}{15}+\frac{9}{15}
Least common multiple of 15 and 5 is 15. Convert \frac{22}{15} and \frac{3}{5} to fractions with denominator 15.
\frac{22+9}{15}
Since \frac{22}{15} and \frac{9}{15} have the same denominator, add them by adding their numerators.
\frac{31}{15}
Add 22 and 9 to get 31.