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\frac{21}{36}-\frac{16}{36}
Least common multiple of 12 and 9 is 36. Convert \frac{7}{12} and \frac{4}{9} to fractions with denominator 36.
\frac{21-16}{36}
Since \frac{21}{36} and \frac{16}{36} have the same denominator, subtract them by subtracting their numerators.
\frac{5}{36}
Subtract 16 from 21 to get 5.