$$\frac{-5}{21}\times\frac{21}{-5}\times1$$
$1$
$$-\frac{5}{21}\times \frac{21}{-5}$$
$$-\frac{5}{21}\left(-\frac{21}{5}\right)$$
$$\frac{-5\left(-21\right)}{21\times 5}\times 1$$
$$\frac{105}{105}\times 1$$
$$1\times 1$$
$$1$$
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