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\frac{102+1}{3}\times \frac{7\times 2+1}{2}
Multiply 34 and 3 to get 102.
\frac{103}{3}\times \frac{7\times 2+1}{2}
Add 102 and 1 to get 103.
\frac{103}{3}\times \frac{14+1}{2}
Multiply 7 and 2 to get 14.
\frac{103}{3}\times \frac{15}{2}
Add 14 and 1 to get 15.
\frac{103\times 15}{3\times 2}
Multiply \frac{103}{3} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{1545}{6}
Do the multiplications in the fraction \frac{103\times 15}{3\times 2}.
\frac{515}{2}
Reduce the fraction \frac{1545}{6} to lowest terms by extracting and canceling out 3.