Question

The product of two numbers is $14.$ If one of the numbers is $\frac{-8}{7}$, find the other.

Answer 1

Finding the other number

Given, product of two numbers is $14.$
And one of the numbers is $\frac{-8}{7}$.

We know,

$\therefore \text{The other number}=\text{The product of two numbers}÷\text{One of the numbers}$

$=14÷\left(\frac{-8}{7}\right)$

$=14\times \left(multiplicativeinverseof\frac{-8}{7}\right)$

$=14\times \frac{7}{-8}$

$=\frac{-14}{1}\times \frac{7}{8}=-\frac{14\times 7}{1\times 8}=\frac{-49}{4}$

Hence, the required result is $\frac{-49}{4}.$