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\frac{1640}{41}+\frac{180}{41}=40+4\times 38\text{ and }40+4\times 38=44\times 38
Convert 40 to fraction \frac{1640}{41}.
\frac{1640+180}{41}=40+4\times 38\text{ and }40+4\times 38=44\times 38
Since \frac{1640}{41} and \frac{180}{41} have the same denominator, add them by adding their numerators.
\frac{1820}{41}=40+4\times 38\text{ and }40+4\times 38=44\times 38
Add 1640 and 180 to get 1820.
\frac{1820}{41}=40+152\text{ and }40+4\times 38=44\times 38
Multiply 4 and 38 to get 152.
\frac{1820}{41}=192\text{ and }40+4\times 38=44\times 38
Add 40 and 152 to get 192.
\frac{1820}{41}=\frac{7872}{41}\text{ and }40+4\times 38=44\times 38
Convert 192 to fraction \frac{7872}{41}.
\text{false}\text{ and }40+4\times 38=44\times 38
Compare \frac{1820}{41} and \frac{7872}{41}.
\text{false}\text{ and }40+152=44\times 38
Multiply 4 and 38 to get 152.
\text{false}\text{ and }192=44\times 38
Add 40 and 152 to get 192.
\text{false}\text{ and }192=1672
Multiply 44 and 38 to get 1672.
\text{false}\text{ and }\text{false}
Compare 192 and 1672.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.