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
