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4=-\frac{2}{\frac{2\left(-1\right)}{4}}
Express 2\left(-\frac{1}{4}\right) as a single fraction.
4=-\frac{2}{\frac{-2}{4}}
Multiply 2 and -1 to get -2.
4=-\frac{2}{-\frac{1}{2}}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.
4=-2\left(-2\right)
Divide 2 by -\frac{1}{2} by multiplying 2 by the reciprocal of -\frac{1}{2}.
4=-\left(-4\right)
Multiply 2 and -2 to get -4.
4=4
The opposite of -4 is 4.
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Compare 4 and 4.