Given that Begin equation 2/3A = 16, which of the following illustrates how the multiplicative inverse property can be used to find the value of a?

2/3 A = 16

The multiplicative inverse is also known as the reciprocal. To solve for the value of A, multiplicative inverse is required.

The multiplicative inverse of 2/3 is 3/2. When you divide a number by a fraction, you first get the reciprocal of the fraction. Then, you multiply the number by the reciprocal of the fraction.

2/3 A = 16

A = 16 / 2/3

A = 16 * 3/2

A = 48 / 2

A = 24

To check:

2/3 A = 16

2/3 (24) = 16

48 / 3 = 16

16 = 16