Algebra Examples

$- \frac{7}{2} \div \frac{3 x}{x - 9}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{7}{2} \cdot \frac{x - 9}{3 x}$

Step 2

Multiply $- \frac{7}{2} \cdot \frac{x - 9}{3 x}$ .

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Step 2.1

Multiply $\frac{x - 9}{3 x}$ by $\frac{7}{2}$ .

$- \frac{(x - 9) \cdot 7}{3 x \cdot 2}$

Step 2.2

Multiply $2$ by $3$ .

$- \frac{(x - 9) \cdot 7}{6 x}$

Step 3

Move $7$ to the left of $x - 9$ .

$- \frac{7 (x - 9)}{6 x}$