Pre-Algebra Examples

$\frac{1}{9 x} \div \frac{8}{x^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{9 x} \cdot \frac{x^{2}}{8}$

Step 2

Combine.

$\frac{1 x^{2}}{9 x \cdot 8}$

Step 3

Cancel the common factor of $x^{2}$ and $x$ .

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Step 3.1

Factor $x$ out of $1 x^{2}$ .

$\frac{x (1 x)}{9 x \cdot 8}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $9 x \cdot 8$ .

$\frac{x (1 x)}{x (9 \cdot 8)}$

Step 3.2.2

Cancel the common factor.

$\frac{x (1 x)}{x (9 \cdot 8)}$

Step 3.2.3

Rewrite the expression.

$\frac{1 x}{9 \cdot 8}$

Step 4

Multiply $x$ by $1$ .

$\frac{x}{9 \cdot 8}$

Step 5

Multiply $9$ by $8$ .

$\frac{x}{72}$