Question

(1/1)+(5/a-1)=(7/6)
solve and show work pls
also how do you find the LCD?

Answer 1

combine fractions on left hand side
to add these fractions denominators must be the same
1 and (a-1) have no common factors
a-1 will be the LCD because 1*(a-1) = a-1
a-1/a-1 + 5/a-1 = 7/6
(a-1 +5)/a-1 = 7/6
a+4/a-1 = 7/6
we have 2 fractions equal to each other
cross multiply
6*(a+4) = 7*(a-1)
6a + 24 = 7a -7
-a = -31
a = 31