Question

Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27

Answer 1

D

Explanation:

`(1(2)/(3))^3\\\\(1+(2)/(3))^3\\\\((3)/(3)+(2)/(3))^3\\\\((5)/(3))^3\\\\(5^3)/(3^3)\\\\(125)/(27)\\\\((27*4)+17)/(27)\\\\4(17)/(27)`

Answer 2

D. 4 17/27

Explanation:

(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27