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\frac{1+1}{4}=\frac{1+1}{4}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Since \frac{1}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\frac{2}{4}=\frac{1+1}{4}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Add 1 and 1 to get 2.
\frac{1}{2}=\frac{1+1}{4}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{1}{2}=\frac{2}{4}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Add 1 and 1 to get 2.
\frac{1}{2}=\frac{1}{2}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\text{true}\text{ and }\frac{1+1}{4}=\frac{2}{4}
Compare \frac{1}{2} and \frac{1}{2}.
\text{true}\text{ and }\frac{2}{4}=\frac{2}{4}
Add 1 and 1 to get 2.
\text{true}\text{ and }\frac{1}{2}=\frac{2}{4}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\text{true}\text{ and }\frac{1}{2}=\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\text{true}\text{ and }\text{true}
Compare \frac{1}{2} and \frac{1}{2}.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.