To add fractions with different denominators, you need to find a common denominator.
In this case, the common denominator is the least common multiple (LCM) of 5 and 6, which is 30.
Now, let's convert both fractions to have a denominator of 30:
(23/5) * (6/6) = 138/30
(28/6) * (5/5) = 140/30
Now, you can add the two fractions:
138/30 + 140/30 = (138 + 140)/30 = 278/30
The fraction 278/30 is in its simplest form, but if you want to simplify it further, you can divide both the numerator and denominator by their greatest common divisor, which is 2:
(278/2) / (30/2) = 139/15
Therefore, 23/5 + 28/6 = 139/15.
