By what number should we multiply -8/13

Question:

By what number should we multiply -8/13 so that the product may be 24?

Solution:

Let us assume the other number be y.

Given, product of two rational number = 24

One number = -8/13

Then,

= y × (-8/13) = 24

= y = 24/ (-8/13)

= y = (24/1) × (-13/8)

= y = (3/1) × (-13/1)

= y = -39

So, the other number is -39

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