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\frac{1+3}{2}+\frac{1}{4}
Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.
\frac{4}{2}+\frac{1}{4}
Add 1 and 3 to get 4.
2+\frac{1}{4}
Divide 4 by 2 to get 2.
\frac{8}{4}+\frac{1}{4}
Convert 2 to fraction \frac{8}{4}.
\frac{8+1}{4}
Since \frac{8}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{9}{4}
Add 8 and 1 to get 9.