rogermiranda wrote:... the denomitor of the complex fraction is 1 over a + 1 over b (1/a + 1/b).
Ah; so the expression is as follows...?. . . . .
Then the LCD's would give:. . . . .
Reverse the one addition to get the standard order:. . . . .
Then flip-n-multiply:. . . . .
Factor the one numerator, cancel the common factors, and simplify to get the final answer.
My answer matches yours, by the way, not the book's. At a guess, the solution was typoed.