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\frac{2+1}{2}+\frac{3}{4}
Multiply 1 and 2 to get 2.
\frac{3}{2}+\frac{3}{4}
Add 2 and 1 to get 3.
\frac{6}{4}+\frac{3}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{3}{4} to fractions with denominator 4.
\frac{6+3}{4}
Since \frac{6}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.
\frac{9}{4}
Add 6 and 3 to get 9.