The product of two rational number is $\frac{-8}{7}$. If one number is $\frac{2}{9}$ find the other number.

Given:

The product of two rational number is $\frac{-8}{7}$. 

One number is $\frac{2}{9}$.

To do:

Product of two rational numbers  = $\frac{-8}{7}$

Solution:

One number = $\frac{2}{9}$

Let the other number be $x$

So, 

$x \times \frac{2}{9}$  =  $\frac{-8}{7}$

$x  =  \frac{-8}{7} \times \frac{9}{2}$

$x =  \frac{- 8 \times 9}{7 \times 2}$

$x  =  \frac{-4 \times 9}{ 7}$                                 ($4 \times 2  = 8$)

$x  =  \frac{-36}{ 7}$

The other rational number is $\frac{-36}{ 7}$ .

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Updated on: 10-Oct-2022

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