Convert to a Simplified Fraction -0.862

$- 0.862$

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.

$- 0 \frac{862}{1000}$

Step 2

Reduce the fraction.

Convert $0 \frac{862}{1000}$ to an improper fraction.

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

$- (0 + \frac{862}{1000})$

Add $0$ and $\frac{862}{1000}$ .

$- \frac{862}{1000}$

Cancel the common factor of $862$ and $1000$ .

Factor $2$ out of $862$ .

$- \frac{2 (431)}{1000}$

Cancel the common factors.

Factor $2$ out of $1000$ .

$- \frac{2 \cdot 431}{2 \cdot 500}$

Cancel the common factor.

$- \frac{2 \cdot 431}{2 \cdot 500}$

Rewrite the expression.

$- \frac{431}{500}$

Convert to a Simplified Fraction -0.862

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