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