Question

If 2/3 + p = 1 and 4/5+ q = 3, what is the value of p+q?

Answer 1

p+q = 38/15

Explanation:

2/3+p = 1. p = 1 - 2/3

4/5 + q = 3. q = 3 - 4/5

p + q = 1 - 2/3 + 3 - 4/5

-2/3 - 4/5 (common denominator = 15)

4 - 10/15 - 12/15 = 4 - 22/15

4 - 22/15 = (4*15 - 22)/15

= 38/15