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\frac{15+1}{3}-\frac{3}{4}
Multiply 5 and 3 to get 15.
\frac{16}{3}-\frac{3}{4}
Add 15 and 1 to get 16.
\frac{64}{12}-\frac{9}{12}
Least common multiple of 3 and 4 is 12. Convert \frac{16}{3} and \frac{3}{4} to fractions with denominator 12.
\frac{64-9}{12}
Since \frac{64}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{55}{12}
Subtract 9 from 64 to get 55.