Algebra Examples

$- \frac{2}{7} \div \frac{3 x - 8}{x + 4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{2}{7} \cdot \frac{x + 4}{3 x - 8}$

Step 2

Multiply $\frac{x + 4}{3 x - 8}$ by $\frac{2}{7}$ .

$- \frac{(x + 4) \cdot 2}{(3 x - 8) \cdot 7}$

Step 3

Reorder.

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Step 3.1

Move $2$ to the left of $x + 4$ .

$- \frac{2 \cdot (x + 4)}{(3 x - 8) \cdot 7}$

Step 3.2

Move $7$ to the left of $3 x - 8$ .

$- \frac{2 (x + 4)}{7 (3 x - 8)}$