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\frac{40}{56}-\frac{21}{56}
Least common multiple of 7 and 8 is 56. Convert \frac{5}{7} and \frac{3}{8} to fractions with denominator 56.
\frac{40-21}{56}
Since \frac{40}{56} and \frac{21}{56} have the same denominator, subtract them by subtracting their numerators.
\frac{19}{56}
Subtract 21 from 40 to get 19.