Question

the product of two rational numbers is - 16/9. If one of them is - 4/3 find the other​

Answer 1

Answer:

The other number is 4/3

Step-by-step explanation:

Let the unknown number be x

Translate the equation :

$- \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9}$

Cross multiply

$- 4x \times 9 = 3 \times - 16 \\ - 36x = - 48$

Divide both sides by -36

$\frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3}$