Pre-Algebra Examples

$\frac{7}{6 x} + \frac{1}{6 x^{2}}$

Step 1

To write $\frac{7}{6 x}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{7}{6 x} \cdot \frac{x}{x} + \frac{1}{6 x^{2}}$

Step 2

Write each expression with a common denominator of $6 x^{2}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{7}{6 x}$ by $\frac{x}{x}$ .

$\frac{7 x}{6 x \cdot x} + \frac{1}{6 x^{2}}$

Step 2.2

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

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Step 2.2.1

Move $x$ .

$\frac{7 x}{6 (x \cdot x)} + \frac{1}{6 x^{2}}$

Step 2.2.2

Multiply $x$ by $x$ .

$\frac{7 x}{6 x^{2}} + \frac{1}{6 x^{2}}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 x + 1}{6 x^{2}}$