Simplify: frac{frac{1}{x+2}+frac{1}{x}}{frac{2}{x}}

Question

Accepted Answer

Step:1 ：Combine the fractions in the numerator: (frac{1}{x+2} + frac{1}{x} = frac{x + 1}{x(x + 2)})Step:2 ：Divide the result by the fraction in the denominator: (frac{frac{x + 1}{x(x + 2)}}{frac{2}{x}} = frac{x + 1}{2(x + 2)})Step:3 ：Simplify the expression: (frac{x + 1}{x + 2})Step:4 ：Final Answer: (boxed{frac{x + 1}{x + 2}})

Answer

Step: 1 ：Combine the fractions in the numerator: (frac{1}{x+2} + frac{1}{x} = frac{x + 1}{x(x + 2)})Step: 2 ：Divide the result by the fraction in the denominator: (frac{frac{x + 1}{x(x + 2)}}{frac{2}{x}} = frac{x + 1}{2(x + 2)})Step: 3 ：Simplify the expression: (frac{x + 1}{x + 2})Step: 4 ：Final Answer: (boxed{frac{x + 1}{x + 2}})

Simplify: $\frac{\frac{1}{x+2}+\frac{1}{x}}{\frac{2}{x}}$

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