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

Question

asked Sep 2, 2020 2.3k views

2 Answers

Shivam Kotwalia · Answer 1 · 2020-09-08T18:32:15+0000

Answer:

(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:

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