Simplify (x^2+5x)/(2x^2)

$\frac{x^{2} + 5 x}{2 x^{2}}$

Step 1

Factor $x$ out of $x^{2} + 5 x$ .

Factor $x$ out of $x^{2}$ .

$\frac{x \cdot x + 5 x}{2 x^{2}}$

Factor $x$ out of $5 x$ .

$\frac{x \cdot x + x \cdot 5}{2 x^{2}}$

Factor $x$ out of $x \cdot x + x \cdot 5$ .

$\frac{x (x + 5)}{2 x^{2}}$

$\frac{x (x + 5)}{2 x^{2}}$

Step 2

Cancel the common factors.

Factor $x$ out of $2 x^{2}$ .

$\frac{x (x + 5)}{x (2 x)}$

Cancel the common factor.

$\frac{x (x + 5)}{x (2 x)}$

Rewrite the expression.

$\frac{x + 5}{2 x}$

$\frac{x + 5}{2 x}$

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