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\frac{14}{4}+\frac{1}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{1}{4} to fractions with denominator 4.
\frac{14+1}{4}
Since \frac{14}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{15}{4}
Add 14 and 1 to get 15.