Basic Math Examples

\frac{15 a}{6 y} \div \frac{3 a y}{2 y}

$\frac{15 a}{6 y} \div \frac{3 a y}{2 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{15 a}{6 y} \cdot \frac{2 y}{3 a y}

$\frac{15 a}{6 y} \cdot \frac{2 y}{3 a y}$

Step 2

Cancel the common factor of

3 a

$3 a$ .

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Step 2.1

Factor

3 a

$3 a$ out of

15 a

$15 a$ .

\frac{3 a (5)}{6 y} \cdot \frac{2 y}{3 a y}

$\frac{3 a (5)}{6 y} \cdot \frac{2 y}{3 a y}$

Step 2.2

Factor

3 a

$3 a$ out of

3 a y

$3 a y$ .

\frac{3 a (5)}{6 y} \cdot \frac{2 y}{3 a (y)}

$\frac{3 a (5)}{6 y} \cdot \frac{2 y}{3 a (y)}$

Step 2.3

Cancel the common factor.

$\frac{3 a \cdot 5}{6 y} \cdot \frac{2 y}{3 a y}$

Step 2.4

Rewrite the expression.

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

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

Step 3

Cancel the common factor of

$2 y$ .

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Step 3.1

Factor

$2 y$ out of

$6 y$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{5}{3} \cdot \frac{1}{y}$

$\frac{5}{3} \cdot \frac{1}{y}$

Step 4

Multiply

$\frac{5}{3}$ by

$\frac{1}{y}$ .

$\frac{5}{3 y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$