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\frac{1}{2}+\frac{4+9}{4}
Multiply 1 and 4 to get 4.
\frac{1}{2}+\frac{13}{4}
Add 4 and 9 to get 13.
\frac{2}{4}+\frac{13}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{13}{4} to fractions with denominator 4.
\frac{2+13}{4}
Since \frac{2}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.
\frac{15}{4}
Add 2 and 13 to get 15.