Basic Math Examples

$\frac{4 a}{3 y} \div \frac{10 a y}{12 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4 a}{3 y} \cdot \frac{12 y}{10 a y}$

Step 2

Cancel the common factor of $2 a$ .

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Step 2.1

Factor $2 a$ out of $4 a$ .

$\frac{2 a (2)}{3 y} \cdot \frac{12 y}{10 a y}$

Step 2.2

Factor $2 a$ out of $10 a y$ .

$\frac{2 a (2)}{3 y} \cdot \frac{12 y}{2 a (5 y)}$

Step 2.3

Cancel the common factor.

$\frac{2 a \cdot 2}{3 y} \cdot \frac{12 y}{2 a (5 y)}$

Step 2.4

Rewrite the expression.

$\frac{2}{3 y} \cdot \frac{12 y}{5 y}$

Step 3

Cancel the common factor of $3 y$ .

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Step 3.1

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

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

Step 3.2

Cancel the common factor.

$\frac{2}{3 y} \cdot \frac{3 y \cdot 4}{5 y}$

Step 3.3

Rewrite the expression.

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

Step 4

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

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

Step 5

Multiply $2$ by $4$ .

$\frac{8}{5 y}$