Basic Math Examples

$500 \div 600 \cdot 275$

Step 1

Rewrite the division as a fraction.

$\frac{500}{600} \cdot 275$

Step 2

Cancel the common factor of $25$ .

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Step 2.1

Factor $25$ out of $600$ .

$\frac{500}{25 (24)} \cdot 275$

Step 2.2

Factor $25$ out of $275$ .

$\frac{500}{25 \cdot 24} \cdot (25 \cdot 11)$

Step 2.3

Cancel the common factor.

$\frac{500}{25 \cdot 24} \cdot (25 \cdot 11)$

Step 2.4

Rewrite the expression.

$\frac{500}{24} \cdot 11$

$\frac{500}{24} \cdot 11$

Step 3

Combine $\frac{500}{24}$ and $11$ .

$\frac{500 \cdot 11}{24}$

Step 4

Multiply $500$ by $11$ .

$\frac{5500}{24}$

Step 5

Cancel the common factor of $5500$ and $24$ .

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Step 5.1

Factor $4$ out of $5500$ .

$\frac{4 (1375)}{24}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $4$ out of $24$ .

$\frac{4 \cdot 1375}{4 \cdot 6}$

Step 5.2.2

Cancel the common factor.

$\frac{4 \cdot 1375}{4 \cdot 6}$

Step 5.2.3

Rewrite the expression.

$\frac{1375}{6}$

$\frac{1375}{6}$

$\frac{1375}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1375}{6}$

Decimal Form:

$229.1\overline{6}$

Mixed Number Form:

$229 \frac{1}{6}$

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