Question

Combine as indicated by the signs.
4+a/a-3 + 4/5

Answer 1

9a+8 / 5(a-3)

Explanation:

Answer 2

`(29a-24)/(5(a-3))`

Explanation:

Thinking process:

The problem is an addition one with directed signs, therefore:

`4 + (a)/(a-3) + (4)/(5)`

the lowest common denominator is the product of 5 and (a - 3)

This gives:

`(4*5(a-3)+a(5)+4(a-3))/(5(a-3))`

solving and opening parentheses:

`(20a-12+5a+4a-12)/(5(a-3))\\= (29a-24)/(5(a-3))`