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\frac{21}{24}-\frac{16}{24}
Least common multiple of 8 and 3 is 24. Convert \frac{7}{8} and \frac{2}{3} to fractions with denominator 24.
\frac{21-16}{24}
Since \frac{21}{24} and \frac{16}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{24}
Subtract 16 from 21 to get 5.