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\frac{21}{15}+\frac{8}{15}
Least common multiple of 5 and 15 is 15. Convert \frac{7}{5} and \frac{8}{15} to fractions with denominator 15.
\frac{21+8}{15}
Since \frac{21}{15} and \frac{8}{15} have the same denominator, add them by adding their numerators.
\frac{29}{15}
Add 21 and 8 to get 29.