Basic Math Examples

$1500 \cdot \frac{105}{100^{2}}$

Step 1

Raise $100$ to the power of $2$ .

$1500 \cdot \frac{105}{10000}$

Step 2

Cancel the common factor of $500$ .

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Step 2.1

Factor $500$ out of $1500$ .

$500 (3) \cdot \frac{105}{10000}$

Step 2.2

Factor $500$ out of $10000$ .

$500 \cdot 3 \cdot \frac{105}{500 \cdot 20}$

Step 2.3

Cancel the common factor.

$500 \cdot 3 \cdot \frac{105}{500 \cdot 20}$

Step 2.4

Rewrite the expression.

$3 \cdot \frac{105}{20}$

$3 \cdot \frac{105}{20}$

Step 3

Combine $3$ and $\frac{105}{20}$ .

$\frac{3 \cdot 105}{20}$

Step 4

Multiply $3$ by $105$ .

$\frac{315}{20}$

Step 5

Cancel the common factor of $315$ and $20$ .

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Step 5.1

Factor $5$ out of $315$ .

$\frac{5 (63)}{20}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $5$ out of $20$ .

$\frac{5 \cdot 63}{5 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{5 \cdot 63}{5 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{63}{4}$

$\frac{63}{4}$

$\frac{63}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{63}{4}$

Decimal Form:

$15.75$

Mixed Number Form:

$15 \frac{3}{4}$

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