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\frac{75+2}{15}+\frac{2}{3}
Multiply 5 and 15 to get 75.
\frac{77}{15}+\frac{2}{3}
Add 75 and 2 to get 77.
\frac{77}{15}+\frac{10}{15}
Least common multiple of 15 and 3 is 15. Convert \frac{77}{15} and \frac{2}{3} to fractions with denominator 15.
\frac{77+10}{15}
Since \frac{77}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.
\frac{87}{15}
Add 77 and 10 to get 87.
\frac{29}{5}
Reduce the fraction \frac{87}{15} to lowest terms by extracting and canceling out 3.