Question

1/2,+1/3,+1/6,+1/2,+1/8,+1/4 =

Answer 1

We want to calculate 1/2 + 1/3 + 1/6 + 1/2 + 1/8 + 1/4

First, we must find the least common multiple of 2, 3, 4, 6, and 8, which is 24.

24/2 = 12; 24/3 = 8; 24/4 = 6; 24/6 = 4; 24/8 = 3.

Now we have:

1/2 + 1/3 + 1/6 + 1/2 + 1/8 + 1/4 = (12 + 8 + 4 + 12 + 3 + 6)/24 = 45/24 = 15/8