Question 40
Algebraic ExpressionsSimplify, as much as possible 1 + 2/(1 − 5/(5 + 2/x))
- A.2/x + 2
- B.x + 1
- C.10x + 6
- D.5x + 3
- E.(5x + 3)/(5x + 2)
Show the answer and explanation
Answer: D (5x + 3)
Explanation
5 + 2/x = (5x + 2)/x, so 5 divided by it is 5x/(5x + 2). Then 1 − 5x/(5x + 2) = 2/(5x + 2), and 2 divided by that is 5x + 2. Adding 1 gives 5x + 3.