Pre-Algebra Examples

$\frac{x y^{2}}{30} \cdot \frac{12}{x^{2} y}$

Step 1

Combine.

$\frac{x y^{2} \cdot 12}{30 (x^{2} y)}$

Step 2

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

Tap for more steps...

Step 2.1

Factor $x$ out of $x y^{2} \cdot 12$ .

$\frac{x (y^{2} \cdot 12)}{30 (x^{2} y)}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $x$ out of $30 (x^{2} y)$ .

$\frac{x (y^{2} \cdot 12)}{x (30 (x y))}$

Step 2.2.2

Cancel the common factor.

$\frac{x (y^{2} \cdot 12)}{x (30 (x y))}$

Step 2.2.3

Rewrite the expression.

$\frac{y^{2} \cdot 12}{30 (x y)}$

$\frac{y^{2} \cdot 12}{30 (x y)}$

$\frac{y^{2} \cdot 12}{30 (x y)}$

Step 3

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

Tap for more steps...

Step 3.1

Factor $y$ out of $y^{2} \cdot 12$ .

$\frac{y (y \cdot 12)}{30 (x y)}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $y$ out of $30 (x y)$ .

$\frac{y (y \cdot 12)}{y (30 (x))}$

Step 3.2.2

Cancel the common factor.

$\frac{y (y \cdot 12)}{y (30 (x))}$

Step 3.2.3

Rewrite the expression.

$\frac{y \cdot 12}{30 (x)}$

$\frac{y \cdot 12}{30 (x)}$

$\frac{y \cdot 12}{30 (x)}$

Step 4

Cancel the common factor of $12$ and $30$ .

Tap for more steps...

Step 4.1

Factor $6$ out of $y \cdot 12$ .

$\frac{6 (y \cdot 2)}{30 (x)}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $6$ out of $30 (x)$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

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

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

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

Step 5

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

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

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