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\frac{30+1}{2}\times \frac{7\times 5+3}{5}
Multiply 15 and 2 to get 30.
\frac{31}{2}\times \frac{7\times 5+3}{5}
Add 30 and 1 to get 31.
\frac{31}{2}\times \frac{35+3}{5}
Multiply 7 and 5 to get 35.
\frac{31}{2}\times \frac{38}{5}
Add 35 and 3 to get 38.
\frac{31\times 38}{2\times 5}
Multiply \frac{31}{2} times \frac{38}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1178}{10}
Do the multiplications in the fraction \frac{31\times 38}{2\times 5}.
\frac{589}{5}
Reduce the fraction \frac{1178}{10} to lowest terms by extracting and canceling out 2.