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\frac{51}{4}+\frac{16}{4}+\frac{1\times 2+1}{2}
Convert 4 to fraction \frac{16}{4}.
\frac{51+16}{4}+\frac{1\times 2+1}{2}
Since \frac{51}{4} and \frac{16}{4} have the same denominator, add them by adding their numerators.
\frac{67}{4}+\frac{1\times 2+1}{2}
Add 51 and 16 to get 67.
\frac{67}{4}+\frac{2+1}{2}
Multiply 1 and 2 to get 2.
\frac{67}{4}+\frac{3}{2}
Add 2 and 1 to get 3.
\frac{67}{4}+\frac{6}{4}
Least common multiple of 4 and 2 is 4. Convert \frac{67}{4} and \frac{3}{2} to fractions with denominator 4.
\frac{67+6}{4}
Since \frac{67}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.
\frac{73}{4}
Add 67 and 6 to get 73.