By what numbers should we multiply

Question:

By what numbers should we multiply -15/20 so that the product may be -5/7?

Solution:

Let us assume the other number be y.

Given, product of two rational number = -5/7

One number = -15/20

Then,

= y × (-15/20) = -5/7

= y = (-5/7)/ (-15/20)

= y = (-5/7) × (-20/15)

= y = (-1/7) × (-20/3)

= y = -20/21

So, the other number is -20/21

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