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\frac{1+1}{2}=\frac{1}{2}\text{ and }\frac{1}{2}+\frac{1}{2}=\frac{1}{2}
Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{2}{2}=\frac{1}{2}\text{ and }\frac{1}{2}+\frac{1}{2}=\frac{1}{2}
Add 1 and 1 to get 2.
\text{false}\text{ and }\frac{1}{2}+\frac{1}{2}=\frac{1}{2}
Compare \frac{2}{2} and \frac{1}{2}.
\text{false}\text{ and }\frac{1+1}{2}=\frac{1}{2}
Since \frac{1}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\text{false}\text{ and }\frac{2}{2}=\frac{1}{2}
Add 1 and 1 to get 2.
\text{false}\text{ and }\text{false}
Compare \frac{2}{2} and \frac{1}{2}.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.