By what number should $(-15)^{-1}$ be divided so that the quotient may be equal to $(-5)^{-1}$?

To do:  

We have to find the number that should be divided by $(-15)^{-1}$ so that the quotient is equal to $(-5)^{-1}$.

Solution:

Let the number that should be divided by $(-15)^{-1}$ so that the quotient is equal to $(-5)^{-1}$ be $x$.

Therefore,

$(-15)^{-1} \div x=(-5)^{-1}$

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

$x=\frac{-5}{-15}$

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

Hence, the number that should be divided by $(-15)^{-1}$ so that the quoteint is equal to $(-5)^{-1}$ is $\frac{1}{3}$.  

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Updated on: 10-Oct-2022

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