Algebra Examples

$\frac{9}{5 x} - \frac{2}{5 x^{2}}$

Step 1

To write $\frac{9}{5 x}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{9}{5 x} \cdot \frac{x}{x} - \frac{2}{5 x^{2}}$

Step 2

Write each expression with a common denominator of $5 x^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{9}{5 x}$ by $\frac{x}{x}$ .

$\frac{9 x}{5 x \cdot x} - \frac{2}{5 x^{2}}$

Step 2.2

Multiply $x$ by $x$ by adding the exponents.

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Step 2.2.1

Move $x$ .

$\frac{9 x}{5 (x \cdot x)} - \frac{2}{5 x^{2}}$

Step 2.2.2

Multiply $x$ by $x$ .

$\frac{9 x}{5 x^{2}} - \frac{2}{5 x^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{9 x - 2}{5 x^{2}}$