Algebra Examples

$\frac{x - 3}{4} \div \frac{x}{8}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x - 3}{4} \cdot \frac{8}{x}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $8$ .

$\frac{x - 3}{4} \cdot \frac{4 (2)}{x}$

Step 2.2

Cancel the common factor.

$\frac{x - 3}{4} \cdot \frac{4 \cdot 2}{x}$

Step 2.3

Rewrite the expression.

$(x - 3) \frac{2}{x}$

Step 3

Multiply $x - 3$ by $\frac{2}{x}$ .

$\frac{(x - 3) \cdot 2}{x}$

Step 4

Move $2$ to the left of $x - 3$ .

$\frac{2 (x - 3)}{x}$