Basic Math Examples

$- \frac{1}{450} \cdot - 2 + 3600$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{1}{450}$ into the numerator.

$\frac{- 1}{450} \cdot - 2 + 3600$

Step 1.1.2

Factor $2$ out of $450$ .

$\frac{- 1}{2 (225)} \cdot - 2 + 3600$

Step 1.1.3

Factor $2$ out of $- 2$ .

$\frac{- 1}{2 \cdot 225} \cdot (2 \cdot - 1) + 3600$

Step 1.1.4

Cancel the common factor.

$\frac{- 1}{2 \cdot 225} \cdot (2 \cdot - 1) + 3600$

Step 1.1.5

Rewrite the expression.

$\frac{- 1}{225} \cdot - 1 + 3600$

Step 1.2

Combine $\frac{- 1}{225}$ and $- 1$ .

$\frac{- - 1}{225} + 3600$

Step 1.3

Multiply $- 1$ by $- 1$ .

$\frac{1}{225} + 3600$

Step 2

To write $3600$ as a fraction with a common denominator, multiply by $\frac{225}{225}$ .

$\frac{1}{225} + 3600 \cdot \frac{225}{225}$

Step 3

Combine $3600$ and $\frac{225}{225}$ .

$\frac{1}{225} + \frac{3600 \cdot 225}{225}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 + 3600 \cdot 225}{225}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3600$ by $225$ .

$\frac{1 + 810000}{225}$

Step 5.2

Add $1$ and $810000$ .

$\frac{810001}{225}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{810001}{225}$

Decimal Form:

$3600.00\overline{4}$

Mixed Number Form:

$3600 \frac{1}{225}$