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\frac{15}{40}+\frac{8}{40}
Least common multiple of 8 and 5 is 40. Convert \frac{3}{8} and \frac{1}{5} to fractions with denominator 40.
\frac{15+8}{40}
Since \frac{15}{40} and \frac{8}{40} have the same denominator, add them by adding their numerators.
\frac{23}{40}
Add 15 and 8 to get 23.