Algebra Examples

$(\frac{3 x + 2}{4 x}) \div (\frac{x + 5}{8})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x + 2}{4 x} \cdot \frac{8}{x + 5}$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $4 x$ .

$\frac{3 x + 2}{4 (x)} \cdot \frac{8}{x + 5}$

Step 2.2

Factor $4$ out of $8$ .

$\frac{3 x + 2}{4 (x)} \cdot \frac{4 (2)}{x + 5}$

Step 2.3

Cancel the common factor.

$\frac{3 x + 2}{4 x} \cdot \frac{4 \cdot 2}{x + 5}$

Step 2.4

Rewrite the expression.

$\frac{3 x + 2}{x} \cdot \frac{2}{x + 5}$

Step 3

Multiply $\frac{3 x + 2}{x}$ by $\frac{2}{x + 5}$ .

$\frac{(3 x + 2) \cdot 2}{x (x + 5)}$

Step 4

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

$\frac{2 (3 x + 2)}{x (x + 5)}$