# 1/3 + 1/2 – 5/6 + 1/5 + 1/4…

## Solution:

We need to determine the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20

Let’s add the given fractions in two groups. In the group of the first three fractions, notice that **1/3 and 1/2 share a common denominator of 6 with 5/6. **

** **

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Thus, 5/6 – 5/6 = 0

Looking at the 2nd group of the fractions (1/5, 1/4, and 9/20), notice that **1/5 and 1/4 share a common denominator of 20 with 9/20. **

** **

1/5 + 1/4 = 4/20 + 5/20 = 9/20

Thus, 9/20 – 9/20 = 0.

Thus, the result of 1/3 + 1/2 – 5/6 + 1/5 + 1/4 – 9/20 is 0.

**Answer: A **