Basic Math Examples

$\frac{16}{2 y} \div \frac{8}{15 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{16}{2 y} \cdot \frac{15 y}{8}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $16$ .

$\frac{8 (2)}{2 y} \cdot \frac{15 y}{8}$

Step 2.2

Cancel the common factor.

$\frac{8 \cdot 2}{2 y} \cdot \frac{15 y}{8}$

Step 2.3

Rewrite the expression.

$\frac{2}{2 y} (15 y)$

$\frac{2}{2 y} (15 y)$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Factor $y$ out of $2 y$ .

$\frac{2}{y \cdot 2} (15 y)$

Step 3.2

Factor $y$ out of $15 y$ .

$\frac{2}{y \cdot 2} (y \cdot 15)$

Step 3.3

Cancel the common factor.

$\frac{2}{y \cdot 2} (y \cdot 15)$

Step 3.4

Rewrite the expression.

$\frac{2}{2} \cdot 15$

$\frac{2}{2} \cdot 15$

Step 4

Combine $\frac{2}{2}$ and $15$ .

$\frac{2 \cdot 15}{2}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $2$ by $15$ .

$\frac{30}{2}$

Step 5.2

Divide $30$ by $2$ .

$15$

$15$

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