Basic Math Examples

$\frac{9}{4 w} \div \frac{w + 5}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{9}{4 w} \cdot \frac{4}{w + 5}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $4 w$ .

$\frac{9}{4 (w)} \cdot \frac{4}{w + 5}$

Step 2.2

Cancel the common factor.

$\frac{9}{4 w} \cdot \frac{4}{w + 5}$

Step 2.3

Rewrite the expression.

$\frac{9}{w} \cdot \frac{1}{w + 5}$

Step 3

Multiply $\frac{9}{w}$ by $\frac{1}{w + 5}$ .

$\frac{9}{w (w + 5)}$