Factor (8y)/10+(8y)/5

$\frac{8 y}{10} + \frac{8 y}{5}$

To write $\frac{8 y}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{8 y}{10} + \frac{8 y}{5} \cdot \frac{2}{2}$

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{8 y}{5}$ and $\frac{2}{2}$ .

$\frac{8 y}{10} + \frac{8 y \cdot 2}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{8 y}{10} + \frac{8 y \cdot 2}{10}$

Combine the numerators over the common denominator.

$\frac{8 y + 8 y \cdot 2}{10}$

Rewrite $\frac{8 y + 8 y \cdot 2}{10}$ in a factored form.

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Factor $8 y$ out of $8 y + 8 y \cdot 2$ .

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Factor $8 y$ out of $8 y$ .

$\frac{8 y (1) + 8 y \cdot 2}{10}$

Factor $8 y$ out of $8 y \cdot 2$ .

$\frac{8 y (1) + 8 y (2)}{10}$

Factor $8 y$ out of $8 y (1) + 8 y (2)$ .

$\frac{8 y (1 + 2)}{10}$

Add $1$ and $2$ .

$\frac{8 y \cdot 3}{10}$

Multiply $3$ by $8$ .

$\frac{24 y}{10}$

Reduce the expression $\frac{24 y}{10}$ by cancelling the common factors.

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Factor $2$ out of $24 y$ .

$\frac{2 (12 y)}{10}$

Factor $2$ out of $10$ .

$\frac{2 (12 y)}{2 (5)}$

Cancel the common factor.

$\frac{2 (12 y)}{2 \cdot 5}$

Rewrite the expression.

$\frac{12 y}{5}$

Factor (8y)/10+(8y)/5

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