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\frac{608}{342}-\frac{99}{342}
Least common multiple of 9 and 38 is 342. Convert \frac{16}{9} and \frac{11}{38} to fractions with denominator 342.
\frac{608-99}{342}
Since \frac{608}{342} and \frac{99}{342} have the same denominator, subtract them by subtracting their numerators.
\frac{509}{342}
Subtract 99 from 608 to get 509.