Question

The product of two rational numbers is −24/9. If one of the numbers is −5/2 , find the other.

Answer 1

Answer:

-5/2 × ? = -24/9

? = -24/9 × -2/5

? = 48/45

Now to recheck

-5/2 × 48/45 = -24/9

Answer 2

Answer:

16/15

Step-by-step explanation:

Let the other rational number be x.

Therefore, -5/2x = -24/9

or, x = (-24/9)/(-5/2)

or, x = -24/9* -2/5

or, x = 16/15. (it's positive since - and - gives +)

PS: If you solve the sum by taking x as 16/15, your answer is -8/3. It's because on reducing -24/9, you get -8/3.

Hope you'll understand it.

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