Question

the product of two rational numbers is -2/ 3 if one number is 3 / 7 find the other number​

Answer 1

The other number is $(-\dfrac{14}{9})$.

Given data:

The product of two rational numbers is $(-\dfrac{2}{3})$

One number is $\dfrac{3}{7}$

To find:

The other number

Concept:

When we divide one fraction $\dfrac{a}{b}$ by another fraction $\dfrac{c}{d}$, we obtain the following result:

$\dfrac{a}{b}\div\dfrac{c}{d}$

= $\dfrac{a}{b}\times\dfrac{d}{c}$

= $\dfrac{ad}{bc}$

Step-by-step explanation:

In order to find the other number, we divide the given product by one given number.

Therefore the other number

= $-\dfrac{2}{3}\div\dfrac{3}{7}$

= $-\dfrac{2}{3}\times\dfrac{7}{3}$

= $-\dfrac{2\times 7}{3\times 3}$

= $-\dfrac{14}{9}$

#SPJ3