Question

simplify \\(\frac{2y}{3y^2} - \frac{5}{y}\\). write your answer as a single rational expression.

Explanation:

Step1: Find the common denominator

The denominators are \(1x^2\) (assuming it's \(x^2\)) and \(y\), so the common denominator is \(x^2y\).

Step2: Rewrite fractions with common denominator

\(\frac{2y}{x^2}=\frac{2y\times y}{x^2\times y}=\frac{2y^2}{x^2y}\) and \(\frac{3}{y}=\frac{3\times x^2}{y\times x^2}=\frac{3x^2}{x^2y}\)

Step3: Subtract the fractions

\(\frac{2y^2}{x^2y}-\frac{3x^2}{x^2y}=\frac{2y^2 - 3x^2}{x^2y}\)

Answer:

\(\frac{2y^2 - 3x^2}{x^2y}\)