Question

If two thirds of a number is one half, then one six of the number is (blank)

Answer 1

(2/3)n = 1/2 Solve for n by dividing 1/2 by 2/3, or multiply 1/2 by the reciprocal of 2/3, which is 3/2. n = (1/2)(3/2) = 3/4 Then to find 1/6 of n, or 3/4, multiply 1/6 by 3/4. (1/6)(3/4) = 3/24, which simplifies to 1/8, as the GCF of 3 and 24 is 3. Answer: 1/8