Basic Math Examples

$\frac{y^{2}}{7} \div \frac{y}{14}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{y^{2}}{7} \cdot \frac{14}{y}$

Step 2

Combine.

$\frac{y^{2} \cdot 14}{7 y}$

Step 3

Cancel the common factor of $y^{2}$ and $y$ .

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Step 3.1

Factor $y$ out of $y^{2} \cdot 14$ .

$\frac{y (y \cdot 14)}{7 y}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y$ out of $7 y$ .

$\frac{y (y \cdot 14)}{y \cdot 7}$

Step 3.2.2

Cancel the common factor.

$\frac{y (y \cdot 14)}{y \cdot 7}$

Step 3.2.3

Rewrite the expression.

$\frac{y \cdot 14}{7}$

$\frac{y \cdot 14}{7}$

$\frac{y \cdot 14}{7}$

Step 4

Cancel the common factor of $14$ and $7$ .

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Step 4.1

Factor $7$ out of $y \cdot 14$ .

$\frac{7 (y \cdot 2)}{7}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $7$ out of $7$ .

$\frac{7 (y \cdot 2)}{7 (1)}$

Step 4.2.2

Cancel the common factor.

$\frac{7 (y \cdot 2)}{7 \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{y \cdot 2}{1}$

Step 4.2.4

Divide $y \cdot 2$ by $1$ .

$y \cdot 2$

$y \cdot 2$

$y \cdot 2$

Step 5

Move $2$ to the left of $y$ .

$2 y$

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