Question

Reduce to lowest terms.

5/a + 1
_______
a/5 - 5/a

A) a-5/5
B) 5/a-5
C) -a/5

Answer 1

((5+a)/a)/((a^2 -25) /5a)
=(a+5)/((a^2 - 25)/5)
=(a+5)(5)/(a+5)(a-5)
=5/(a-5)

the correct answer = B

Answer 2

Given
(5/a+1/1)/(a/5-5/a)

=[(5+a)/a]/[(a^2-5^2)/5a]

=[5+a]/a * 5a/[(a-5)(a+5)]
After cancellation

=5/(a-5)
B is correct