Finite Math Examples

$\frac{2 y - 6}{5 y} \cdot \frac{20 y - 15}{14}$

Step 1

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

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Step 1.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) - 6}{5 y} \cdot \frac{20 y - 15}{14}$

Step 1.2

Factor $2$ out of $- 6$ .

$\frac{2 y + 2 \cdot - 3}{5 y} \cdot \frac{20 y - 15}{14}$

Step 1.3

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

$\frac{2 (y - 3)}{5 y} \cdot \frac{20 y - 15}{14}$

Step 2

Factor $5$ out of $20 y - 15$ .

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Step 2.1

Factor $5$ out of $20 y$ .

$\frac{2 (y - 3)}{5 y} \cdot \frac{5 (4 y) - 15}{14}$

Step 2.2

Factor $5$ out of $- 15$ .

$\frac{2 (y - 3)}{5 y} \cdot \frac{5 (4 y) + 5 (- 3)}{14}$

Step 2.3

Factor $5$ out of $5 (4 y) + 5 (- 3)$ .

$\frac{2 (y - 3)}{5 y} \cdot \frac{5 (4 y - 3)}{14}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $14$ .

$\frac{2 (y - 3)}{5 y} \cdot \frac{5 (4 y - 3)}{2 (7)}$

Step 3.2

Cancel the common factor.

$\frac{2 (y - 3)}{5 y} \cdot \frac{5 (4 y - 3)}{2 \cdot 7}$

Step 3.3

Rewrite the expression.

$\frac{y - 3}{5 y} \cdot \frac{5 (4 y - 3)}{7}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $5 y$ .

$\frac{y - 3}{5 (y)} \cdot \frac{5 (4 y - 3)}{7}$

Step 4.2

Cancel the common factor.

$\frac{y - 3}{5 y} \cdot \frac{5 (4 y - 3)}{7}$

Step 4.3

Rewrite the expression.

$\frac{y - 3}{y} \cdot \frac{4 y - 3}{7}$

Step 5

Multiply $\frac{y - 3}{y}$ by $\frac{4 y - 3}{7}$ .

$\frac{(y - 3) (4 y - 3)}{y \cdot 7}$

Step 6

Move $7$ to the left of $y$ .

$\frac{(y - 3) (4 y - 3)}{7 y}$