Question

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

Answer 1

-4/3° × x = -16/9

-4 × x = -16

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3 × x = 9

x = -16/9 ÷ -4/3

x = -16/9 × 3/4

= 3/4°

Answer 2

Given:

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

To find:

The rational number which when multiplied by -4/3 gives the product -16/9

Solution:

Let the unknown rational number be x.

The question says that the product of x and -4/3 is -16/9.

The equation for this statement = x × -4/3 = -16/9

Now, we solve the equation by transposition method :

» x × -4/3 = -16/9

» x = -16/9 ÷ -4/3 (transposing -4/3 to the RHS)

» x = 4/3

Verification:

Multiplying -4/3 by 4/3 (we multiply the numerator of the first fraction with that of the second fraction and the denominator of the first fraction with that of the second fraction), we get -16/9.

Hence, verified!

Thus, the other rational number is 4/3.