Given the numbers 2 and 3 how much larger is the sum of thei

Given the numbers 2 and 3, how much larger is the sum of their multiplicative inverses than the multiplicative inverse of their sum? (A) 1/6 (B) 19/30 (C) 5/6 (D) 31/30

The sum of the numbers 2 and 3 is 5. The multiplicative inverse of the sum is 1/5. The multiplicative inverses of 2 and 3 are ½ and 1/3 respectively. Futrther, (1/2)+(1/3) = 5/6. Then 5/6-1/5 = 19/30.Option B is the correct answer.