Algebra Examples

$\frac{3 y - 12}{28} \cdot \frac{14 y + 7}{6 y - 24}$

Step 1

Factor $3$ out of $3 y - 12$ .

Tap for more steps...

Step 1.1

Factor $3$ out of $3 y$ .

$\frac{3 (y) - 12}{28} \cdot \frac{14 y + 7}{6 y - 24}$

Step 1.2

Factor $3$ out of $- 12$ .

$\frac{3 y + 3 \cdot - 4}{28} \cdot \frac{14 y + 7}{6 y - 24}$

Step 1.3

Factor $3$ out of $3 y + 3 \cdot - 4$ .

$\frac{3 (y - 4)}{28} \cdot \frac{14 y + 7}{6 y - 24}$

Step 2

Factor $7$ out of $14 y + 7$ .

Tap for more steps...

Step 2.1

Factor $7$ out of $14 y$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y) + 7}{6 y - 24}$

Step 2.2

Factor $7$ out of $7$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y) + 7 (1)}{6 y - 24}$

Step 2.3

Factor $7$ out of $7 (2 y) + 7 (1)$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{6 y - 24}$

Step 3

Factor $6$ out of $6 y - 24$ .

Tap for more steps...

Step 3.1

Factor $6$ out of $6 y$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{6 (y) - 24}$

Step 3.2

Factor $6$ out of $- 24$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{6 y + 6 \cdot - 4}$

Step 3.3

Factor $6$ out of $6 y + 6 \cdot - 4$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{6 (y - 4)}$

Step 4

Cancel the common factor of $3 (y - 4)$ .

Tap for more steps...

Step 4.1

Factor $3 (y - 4)$ out of $6 (y - 4)$ .

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{3 (y - 4) (2)}$

Step 4.2

Cancel the common factor.

$\frac{3 (y - 4)}{28} \cdot \frac{7 (2 y + 1)}{3 (y - 4) \cdot 2}$

Step 4.3

Rewrite the expression.

$\frac{1}{28} \cdot \frac{7 (2 y + 1)}{2}$

Step 5

Cancel the common factor of $7$ .

Tap for more steps...

Step 5.1

Factor $7$ out of $28$ .

$\frac{1}{7 (4)} \cdot \frac{7 (2 y + 1)}{2}$

Step 5.2

Cancel the common factor.

$\frac{1}{7 \cdot 4} \cdot \frac{7 (2 y + 1)}{2}$

Step 5.3

Rewrite the expression.

$\frac{1}{4} \cdot \frac{2 y + 1}{2}$

Step 6

Multiply $\frac{1}{4}$ by $\frac{2 y + 1}{2}$ .

$\frac{2 y + 1}{4 \cdot 2}$

Step 7

Multiply $4$ by $2$ .

$\frac{2 y + 1}{8}$