Simplify x/(7x+x^2)

$\frac{x}{7 x + x^{2}}$

Step 1

Factor $x$ out of $7 x + x^{2}$ .

Factor $x$ out of $7 x$ .

$\frac{x}{x \cdot 7 + x^{2}}$

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

$\frac{x}{x \cdot 7 + x \cdot x}$

Factor $x$ out of $x \cdot 7 + x \cdot x$ .

$\frac{x}{x (7 + x)}$

$\frac{x}{x (7 + x)}$

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x}{x (7 + x)}$

Rewrite the expression.

$\frac{1}{7 + x}$

$\frac{1}{7 + x}$

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