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\frac{21}{56}+\frac{24}{56}
Least common multiple of 8 and 7 is 56. Convert \frac{3}{8} and \frac{3}{7} to fractions with denominator 56.
\frac{21+24}{56}
Since \frac{21}{56} and \frac{24}{56} have the same denominator, add them by adding their numerators.
\frac{45}{56}
Add 21 and 24 to get 45.