Basic Math Examples

$\frac{\frac{2}{5}}{100} \cdot \frac{500}{6}$

Step 1

Cancel the common factor of $100$ .

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Step 1.1

Factor $100$ out of $500$ .

$\frac{\frac{2}{5}}{100} \cdot \frac{100 (5)}{6}$

Step 1.2

Cancel the common factor.

$\frac{\frac{2}{5}}{100} \cdot \frac{100 \cdot 5}{6}$

Step 1.3

Rewrite the expression.

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

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

Step 2

Multiply $\frac{2}{5}$ by $\frac{5}{6}$ .

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

Step 3

Multiply.

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Step 3.1

Multiply $2$ by $5$ .

$\frac{10}{5 \cdot 6}$

Step 3.2

Multiply $5$ by $6$ .

$\frac{10}{30}$

$\frac{10}{30}$

Step 4

Cancel the common factor of $10$ and $30$ .

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Step 4.1

Factor $10$ out of $10$ .

$\frac{10 (1)}{30}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $10$ out of $30$ .

$\frac{10 \cdot 1}{10 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$\frac{10 \cdot 1}{10 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$\frac{1}{3}$

$\frac{1}{3}$

$\frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$

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