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\frac{57}{95}-\frac{45}{95}
Least common multiple of 5 and 19 is 95. Convert \frac{3}{5} and \frac{9}{19} to fractions with denominator 95.
\frac{57-45}{95}
Since \frac{57}{95} and \frac{45}{95} have the same denominator, subtract them by subtracting their numerators.
\frac{12}{95}
Subtract 45 from 57 to get 12.