Basic Math Examples

$\frac{4}{10 q^{2}} \cdot \frac{5 q^{5}}{12}$

Step 1

Combine.

$\frac{4 (5 q^{5})}{10 q^{2} \cdot 12}$

Step 2

Cancel the common factor of $4$ and $10$ .

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Step 2.1

Factor $2$ out of $4 (5 q^{5})$ .

$\frac{2 (2 (5 q^{5}))}{10 q^{2} \cdot 12}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10 q^{2} \cdot 12$ .

$\frac{2 (2 (5 q^{5}))}{2 (5 q^{2} \cdot 12)}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 (5 q^{5}))}{2 (5 q^{2} \cdot 12)}$

Step 2.2.3

Rewrite the expression.

$\frac{2 (5 q^{5})}{5 q^{2} \cdot 12}$

$\frac{2 (5 q^{5})}{5 q^{2} \cdot 12}$

$\frac{2 (5 q^{5})}{5 q^{2} \cdot 12}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $2$ out of $5 q^{2} \cdot 12$ .

$\frac{2 (5 q^{5})}{2 (5 q^{2} \cdot 6)}$

Step 3.2

Cancel the common factor.

$\frac{2 (5 q^{5})}{2 (5 q^{2} \cdot 6)}$

Step 3.3

Rewrite the expression.

$\frac{5 q^{5}}{5 q^{2} \cdot 6}$

$\frac{5 q^{5}}{5 q^{2} \cdot 6}$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Cancel the common factor.

$\frac{5 q^{5}}{5 q^{2} \cdot 6}$

Step 4.2

Rewrite the expression.

$\frac{q^{5}}{q^{2} \cdot 6}$

$\frac{q^{5}}{q^{2} \cdot 6}$

Step 5

Cancel the common factor of $q^{5}$ and $q^{2}$ .

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Step 5.1

Factor $q^{2}$ out of $q^{5}$ .

$\frac{q^{2} q^{3}}{q^{2} \cdot 6}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $q^{2}$ out of $q^{2} \cdot 6$ .

$\frac{q^{2} q^{3}}{q^{2} (6)}$

Step 5.2.2

Cancel the common factor.

$\frac{q^{2} q^{3}}{q^{2} \cdot 6}$

Step 5.2.3

Rewrite the expression.

$\frac{q^{3}}{6}$

$\frac{q^{3}}{6}$

$\frac{q^{3}}{6}$

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