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2-\frac{4+3}{4}=\frac{3}{4}-\frac{1\times 4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Multiply 1 and 4 to get 4.
2-\frac{7}{4}=\frac{3}{4}-\frac{1\times 4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Add 4 and 3 to get 7.
\frac{8}{4}-\frac{7}{4}=\frac{3}{4}-\frac{1\times 4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Convert 2 to fraction \frac{8}{4}.
\frac{8-7}{4}=\frac{3}{4}-\frac{1\times 4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Since \frac{8}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{4}=\frac{3}{4}-\frac{1\times 4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Subtract 7 from 8 to get 1.
\frac{1}{4}=\frac{3}{4}-\frac{4+3}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Multiply 1 and 4 to get 4.
\frac{1}{4}=\frac{3}{4}-\frac{7}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Add 4 and 3 to get 7.
\frac{1}{4}=\frac{3-7}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Since \frac{3}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{4}=\frac{-4}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Subtract 7 from 3 to get -4.
\frac{1}{4}=-1\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Divide -4 by 4 to get -1.
\frac{1}{4}=-\frac{4}{4}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Convert -1 to fraction -\frac{4}{4}.
\text{false}\text{ and }\frac{3}{4}-\frac{1\times 4+3}{4}=\frac{1\times 4+0}{4}
Compare \frac{1}{4} and -\frac{4}{4}.
\text{false}\text{ and }\frac{3}{4}-\frac{4+3}{4}=\frac{1\times 4+0}{4}
Multiply 1 and 4 to get 4.
\text{false}\text{ and }\frac{3}{4}-\frac{7}{4}=\frac{1\times 4+0}{4}
Add 4 and 3 to get 7.
\text{false}\text{ and }\frac{3-7}{4}=\frac{1\times 4+0}{4}
Since \frac{3}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.
\text{false}\text{ and }\frac{-4}{4}=\frac{1\times 4+0}{4}
Subtract 7 from 3 to get -4.
\text{false}\text{ and }-1=\frac{1\times 4+0}{4}
Divide -4 by 4 to get -1.
\text{false}\text{ and }-1=\frac{4+0}{4}
Multiply 1 and 4 to get 4.
\text{false}\text{ and }-1=\frac{4}{4}
Add 4 and 0 to get 4.
\text{false}\text{ and }-1=1
Divide 4 by 4 to get 1.
\text{false}\text{ and }\text{false}
Compare -1 and 1.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.