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\frac{3}{4}+\frac{7\times 1}{2\times 2}
Multiply \frac{7}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{4}+\frac{7}{4}
Do the multiplications in the fraction \frac{7\times 1}{2\times 2}.
\frac{3+7}{4}
Since \frac{3}{4} and \frac{7}{4} have the same denominator, add them by adding their numerators.
\frac{10}{4}
Add 3 and 7 to get 10.
\frac{5}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.