By what number should


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


Expressing in fractional form, we get:

(−15)−1 = −1/15,      ---> (a−1 = 1/a)


(−5)−1 = −1/5           ---> (a−1 = 1/a)

We have to find a number x such that

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

Solving this equation, we get:

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




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

Hence, (−15)−1 should be divided by 1/3 to obtain (−5)−1.

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now