Convert to a Simplified Fraction -0.8660254

$- 0.8660254$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

$7$ numbers to the right of the decimal point, place the decimal number over

$10^{7}$

$(10000000)$ . Next, add the whole number to the left of the decimal.

$- 0 \frac{8660254}{10000000}$

Step 2

Reduce the fraction.

Convert

$0 \frac{8660254}{10000000}$ to an improper fraction.

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

$- (0 + \frac{8660254}{10000000})$

Add

$0$ and

$\frac{8660254}{10000000}$ .

$- \frac{8660254}{10000000}$

Cancel the common factor of

$8660254$ and

$10000000$ .

Factor

$2$ out of

$8660254$ .

$- \frac{2 (4330127)}{10000000}$

Cancel the common factors.

Factor

$2$ out of

$10000000$ .

$- \frac{2 \cdot 4330127}{2 \cdot 5000000}$

Cancel the common factor.

$- \frac{2 \cdot 4330127}{2 \cdot 5000000}$

Rewrite the expression.

$- \frac{4330127}{5000000}$