Question

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

Answer 1

Answer:

D. 5/3

Step-by-step explanation:

$\frac{1/6+1/2+1/3+x}{4} =2/3$

$1/6+1/2+1/3+x=8/3$

$x=8/3-1/6-1/2-1/3$

$x=8/3-1/6-3/6-2/6$

$x=8/3-6/6$

$x=16/6-6/6=10/6$

simplified

$x=5/3$

Hope this helps