Question

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

Answer 1

The other number is 4/3

Explanation:

Let the unknown number be x

Translate the equation :

`- (4)/(3) * x = - (16)/(9) \\ - (4)/(3) x = - (16)/(9) \\`

Cross multiply

`- 4x * 9 = 3 * - 16 \\ - 36x = - 48`

Divide both sides by -36

`( - 36x)/( - 36) = ( - 48)/( - 36x) \\ x = (4)/(3)`