if 0 < x < y and x/y=r which of the following must be equal to x+y/x

(A) 1 over (r + 1)

(B) r over (r + 1)

(C) (r +1) over (r minus 1)

(D) (r + 1) over r

(E) r plus 1

can you please explain how the answer is D.

First, please *always* use parentheses when you enter fractions. You did in the answer choices, but not the question itself. I have seen this question before so I know it should be (*x* + *y*)/*x*, but that’s not what you typed.

*Anyhoo*, manipulate the fraction:

Since you know that , you know that , so you can simplify the above:

If you combine that into one fraction by getting a common denominator, you land on choice D:

Don’t like all that algebra? This is also a great question to plug in on! 🙂