Convert to a Simplified Fraction 0.166

$0.166$

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.

$0 \frac{166}{1000}$

Step 2

Reduce the fraction.

Convert $0 \frac{166}{1000}$ to an improper fraction.

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

$0 + \frac{166}{1000}$

Add $0$ and $\frac{166}{1000}$ .

$\frac{166}{1000}$

Cancel the common factor of $166$ and $1000$ .

Factor $2$ out of $166$ .

$\frac{2 (83)}{1000}$

Cancel the common factors.

Factor $2$ out of $1000$ .

$\frac{2 \cdot 83}{2 \cdot 500}$

Cancel the common factor.

$\frac{2 \cdot 83}{2 \cdot 500}$

Rewrite the expression.

$\frac{83}{500}$

Convert to a Simplified Fraction 0.166

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