Verified Answer :

Get a common denominator:

5/67/7=35/42

3/7
6/6=18/42

Add the numbers:

35/42+18/42=53/42

This fraction does not simplify, so 53/42 is our final answer.

5/6 + 3/7

Common denominator is needed. 

5/6 = 35/42
3/7 = 18/42

Now add 

35 + 18 = 53

53/42 
53 - 42 = 11

1 and 11/42