By what number should


By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?


Using the property a−1 = 1/a for every natural number a, we have (−15)−1 = −1/15 and (−5)−1 = −1/5. We have to find a number x such that


or $\frac{-1}{15} \times \frac{1}{\mathrm{x}}=\frac{-1}{5}$

or $x=\frac{1}{3}$

Hence, $(-15)^{-1}$ should be divided by $\frac{1}{3}$ to obtain $(-5)^{-1}$.


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