Pre-Algebra Examples

$- 0.045$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are $3$ numbers to the right of the decimal point, place the decimal number over $10^{3}$ $(1000)$ . Next, add the whole number to the left of the decimal.

$- 0 \frac{45}{1000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert $0 \frac{45}{1000}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

$- (0 + \frac{45}{1000})$

Step 2.1.2

Add $0$ and $\frac{45}{1000}$ .

$- \frac{45}{1000}$

Step 2.2

Cancel the common factor of $45$ and $1000$ .

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Step 2.2.1

Factor $5$ out of $45$ .

$- \frac{5 (9)}{1000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $5$ out of $1000$ .

$- \frac{5 \cdot 9}{5 \cdot 200}$

Step 2.2.2.2

Cancel the common factor.

$- \frac{5 \cdot 9}{5 \cdot 200}$

Step 2.2.2.3

Rewrite the expression.

$- \frac{9}{200}$