Final answer:
To add and subtract the fractions (5)/(a) + (3)/(a-1), find a common denominator and combine the numerators.
Step-by-step explanation:
To add and subtract the fractions (5)/(a) + (3)/(a-1), we need to find a common denominator. Since the denominators are already different, the common denominator is (a)(a-1).
Multiplying the first fraction by (a-1)/(a-1) and the second fraction by (a)/(a), we get ((5)(a-1))/((a)(a-1)) + ((3)(a))/((a)(a-1)).
Combining the numerators, we have (5a-5 + 3a)/(a(a-1)). Simplifying, we get (8a-5)/(a(a-1)).