Algebra Examples

$(\frac{8 y - 4}{7}) (\frac{14}{10 y - 5})$

Step 1

Factor $4$ out of $8 y - 4$ .

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Step 1.1

Factor $4$ out of $8 y$ .

$\frac{4 (2 y) - 4}{7} \cdot \frac{14}{10 y - 5}$

Step 1.2

Factor $4$ out of $- 4$ .

$\frac{4 (2 y) + 4 (- 1)}{7} \cdot \frac{14}{10 y - 5}$

Step 1.3

Factor $4$ out of $4 (2 y) + 4 (- 1)$ .

$\frac{4 (2 y - 1)}{7} \cdot \frac{14}{10 y - 5}$

Step 2

Factor $5$ out of $10 y - 5$ .

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Step 2.1

Factor $5$ out of $10 y$ .

$\frac{4 (2 y - 1)}{7} \cdot \frac{14}{5 (2 y) - 5}$

Step 2.2

Factor $5$ out of $- 5$ .

$\frac{4 (2 y - 1)}{7} \cdot \frac{14}{5 (2 y) + 5 (- 1)}$

Step 2.3

Factor $5$ out of $5 (2 y) + 5 (- 1)$ .

$\frac{4 (2 y - 1)}{7} \cdot \frac{14}{5 (2 y - 1)}$

Step 3

Cancel the common factor of $2 y - 1$ .

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Step 3.1

Factor $2 y - 1$ out of $4 (2 y - 1)$ .

$\frac{(2 y - 1) \cdot 4}{7} \cdot \frac{14}{5 (2 y - 1)}$

Step 3.2

Factor $2 y - 1$ out of $5 (2 y - 1)$ .

$\frac{(2 y - 1) \cdot 4}{7} \cdot \frac{14}{(2 y - 1) \cdot 5}$

Step 3.3

Cancel the common factor.

$\frac{(2 y - 1) \cdot 4}{7} \cdot \frac{14}{(2 y - 1) \cdot 5}$

Step 3.4

Rewrite the expression.

$\frac{4}{7} \cdot \frac{14}{5}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Factor $7$ out of $14$ .

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

Step 4.2

Cancel the common factor.

$\frac{4}{7} \cdot \frac{7 \cdot 2}{5}$

Step 4.3

Rewrite the expression.

$4 (\frac{2}{5})$

Step 5

Combine $4$ and $\frac{2}{5}$ .

$\frac{4 \cdot 2}{5}$

Step 6

Multiply $4$ by $2$ .

$\frac{8}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$