Answer:
[tex]\frac{29a-24}{5(a-3)}[/tex]
Step-by-step explanation:
Thinking process:
The problem is an addition one with directed signs, therefore:
[tex]4 + \frac{a}{a-3} + \frac{4}{5}[/tex]
the lowest common denominator is the product of 5 and (a - 3)
This gives:
[tex]\frac{4*5(a-3)+a(5)+4(a-3)}{5(a-3)}[/tex]
solving and opening parentheses:
[tex]\frac{20a-12+5a+4a-12}{5(a-3)}\\= \frac{29a-24}{5(a-3)}[/tex]
