Algebra Examples

$\frac{2 y + 6}{9 y - 7} \div \frac{2}{3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{2 y + 6}{9 y - 7} \cdot \frac{3}{2}$

Step 2

Factor $2$ out of $2 y + 6$ .

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Step 2.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) + 6}{9 y - 7} \cdot \frac{3}{2}$

Step 2.2

Factor $2$ out of $6$ .

$\frac{2 y + 2 \cdot 3}{9 y - 7} \cdot \frac{3}{2}$

Step 2.3

Factor $2$ out of $2 y + 2 \cdot 3$ .

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

$\frac{y + 3}{9 y - 7} \cdot 3$

Step 4

Combine $\frac{y + 3}{9 y - 7}$ and $3$ .

$\frac{(y + 3) \cdot 3}{9 y - 7}$

Step 5

Move $3$ to the left of $y + 3$ .

$\frac{3 (y + 3)}{9 y - 7}$