Q39. - Algebra 2

Question

Simplify the expression $\frac{\frac{x+y}{2x-y}}{\frac{x+y}{2x+y}}$

Step-by-Step Solution

Answer

The simplified value of expression is $\frac{2x+y}{2x-y}$

Step 1. Write down the given expression.

The given expression is $\frac{\frac{x+y}{2x-y}}{\frac{x+y}{2x+y}}$

Step 2. Simplify the expression.

The given expression $\frac{\frac{x+y}{2x-y}}{\frac{x+y}{2x+y}}$is simplified as:

$\begin{array}{c}\frac{\frac{x+y}{2x-y}}{\frac{x+y}{2x+y}}=\frac{x+y}{2x-y}\times \frac{2x+y}{x+y}\\ =\frac{2x+y}{2x-y}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{2x+y}{2x-y}$