Basic Math Examples

$\frac{\frac{2 y}{5}}{\frac{6 y + 12}{5 y + 1}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 y}{5} \cdot \frac{5 y + 1}{6 y + 12}$

Step 2

Factor $6$ out of $6 y + 12$ .

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Step 2.1

Factor $6$ out of $6 y$ .

$\frac{2 y}{5} \cdot \frac{5 y + 1}{6 (y) + 12}$

Step 2.2

Factor $6$ out of $12$ .

$\frac{2 y}{5} \cdot \frac{5 y + 1}{6 y + 6 \cdot 2}$

Step 2.3

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

$\frac{2 y}{5} \cdot \frac{5 y + 1}{6 (y + 2)}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $2 y$ .

$\frac{2 (y)}{5} \cdot \frac{5 y + 1}{6 (y + 2)}$

Step 3.2

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

$\frac{2 (y)}{5} \cdot \frac{5 y + 1}{2 (3 (y + 2))}$

Step 3.3

Cancel the common factor.

$\frac{2 y}{5} \cdot \frac{5 y + 1}{2 (3 (y + 2))}$

Step 3.4

Rewrite the expression.

$\frac{y}{5} \cdot \frac{5 y + 1}{3 (y + 2)}$

Step 4

Multiply $\frac{y}{5}$ by $\frac{5 y + 1}{3 (y + 2)}$ .

$\frac{y (5 y + 1)}{5 (3 (y + 2))}$

Step 5

Multiply $3$ by $5$ .

$\frac{y (5 y + 1)}{15 (y + 2)}$