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\frac{16}{56}+\frac{21}{56}
Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{3}{8} to fractions with denominator 56.
\frac{16+21}{56}
Since \frac{16}{56} and \frac{21}{56} have the same denominator, add them by adding their numerators.
\frac{37}{56}
Add 16 and 21 to get 37.