Question

.the product if two rational numbers is -9 /16 and one of them is -4/15 . find the other no.​

Answer 1

Answer:

The other number is $\frac{135}{64}$.

Step-by-step explanation:

Given the product of two rational numbers as $\frac{-9}{16}$.

One number is $\frac{-4}{15}$.

Let the other number is $\frac{x}{y}$.

We know,

$\frac{x}{y}\times \frac{-4}{15} =\frac{-9}{16}$

$\frac{x}{y} =\frac{-9}{16}\times \frac{-15}{4}$

$\frac{x}{y} =\frac{135}{64}$.

Answer 2

Given,

The product if two rational numbers is $-\frac{9}{16}$ and one of them is $-\frac{4}{15}$

We have to find the other number

In order to find the other number

Let other number be $\frac{x}{y}$

According to the question,

The product if two rational numbers is $-\frac{9}{16}$ and one of them is $-\frac{4}{15}$

$\frac{x}{y} \times -\frac{4}{15}=-\frac{9}{16}$

$\frac{x}{y} =-\frac{9}{16}\times -\frac{15}{4}$

$\frac{x}{y} = \frac{9\times15}{16\times4}$

$\frac{x}{y} =\frac{135}{64}$

Therefore, the number be $\frac{135}{64}$.