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\frac{9+1}{4}+\frac{1}{2}
Since \frac{9}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{10}{4}+\frac{1}{2}
Add 9 and 1 to get 10.
\frac{5}{2}+\frac{1}{2}
Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.
\frac{5+1}{2}
Since \frac{5}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{6}{2}
Add 5 and 1 to get 6.
3
Divide 6 by 2 to get 3.