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\frac{13}{4}+\frac{22}{4}
Least common multiple of 4 and 2 is 4. Convert \frac{13}{4} and \frac{11}{2} to fractions with denominator 4.
\frac{13+22}{4}
Since \frac{13}{4} and \frac{22}{4} have the same denominator, add them by adding their numerators.
\frac{35}{4}
Add 13 and 22 to get 35.