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\frac{16}{40}+\frac{25}{40}
Least common multiple of 5 and 8 is 40. Convert \frac{2}{5} and \frac{5}{8} to fractions with denominator 40.
\frac{16+25}{40}
Since \frac{16}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.
\frac{41}{40}
Add 16 and 25 to get 41.