Basic Math Examples

$\frac{6 m^{2} y}{2 m} \cdot \frac{y}{12 m y}$

Step 1

Combine.

$\frac{6 m^{2} y \cdot y}{2 m (12 m y)}$

Step 2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1

Move $y$ .

$\frac{6 m^{2} (y \cdot y)}{2 m (12 m y)}$

Step 2.2

Multiply $y$ by $y$ .

$\frac{6 m^{2} y^{2}}{2 m (12 m y)}$

$\frac{6 m^{2} y^{2}}{2 m (12 m y)}$

Step 3

Multiply $m$ by $m$ by adding the exponents.

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Step 3.1

Move $m$ .

$\frac{6 m^{2} y^{2}}{2 (m \cdot m) (12 y)}$

Step 3.2

Multiply $m$ by $m$ .

$\frac{6 m^{2} y^{2}}{2 m^{2} (12 y)}$

$\frac{6 m^{2} y^{2}}{2 m^{2} (12 y)}$

Step 4

Cancel the common factor of $6$ and $2$ .

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Step 4.1

Factor $2$ out of $6 m^{2} y^{2}$ .

$\frac{2 (3 m^{2} y^{2})}{2 m^{2} (12 y)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $2 m^{2} (12 y)$ .

$\frac{2 (3 m^{2} y^{2})}{2 (m^{2} (12 y))}$

Step 4.2.2

Cancel the common factor.

$\frac{2 (3 m^{2} y^{2})}{2 (m^{2} (12 y))}$

Step 4.2.3

Rewrite the expression.

$\frac{3 m^{2} y^{2}}{m^{2} (12 y)}$

$\frac{3 m^{2} y^{2}}{m^{2} (12 y)}$

$\frac{3 m^{2} y^{2}}{m^{2} (12 y)}$

Step 5

Cancel the common factor of $3$ and $12$ .

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Step 5.1

Factor $3$ out of $3 m^{2} y^{2}$ .

$\frac{3 (m^{2} y^{2})}{m^{2} (12 y)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $3$ out of $m^{2} (12 y)$ .

$\frac{3 (m^{2} y^{2})}{3 (m^{2} (4 y))}$

Step 5.2.2

Cancel the common factor.

$\frac{3 (m^{2} y^{2})}{3 (m^{2} (4 y))}$

Step 5.2.3

Rewrite the expression.

$\frac{m^{2} y^{2}}{m^{2} (4 y)}$

$\frac{m^{2} y^{2}}{m^{2} (4 y)}$

$\frac{m^{2} y^{2}}{m^{2} (4 y)}$

Step 6

Cancel the common factor of $m^{2}$ .

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Step 6.1

Cancel the common factor.

$\frac{m^{2} y^{2}}{m^{2} (4 y)}$

Step 6.2

Rewrite the expression.

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

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

Step 7

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

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Step 7.1

Factor $y$ out of $y^{2}$ .

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

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $y$ out of $4 y$ .

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

Step 7.2.2

Cancel the common factor.

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

Step 7.2.3

Rewrite the expression.

$\frac{y}{4}$

$\frac{y}{4}$

$\frac{y}{4}$

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