Convert to a Simplified Fraction -0.065

$- 0.065$

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.

$- 0 \frac{65}{1000}$

Step 2

Reduce the fraction.

Convert

$0 \frac{65}{1000}$ to an improper fraction.

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

$- (0 + \frac{65}{1000})$

Add

$0$ and

$\frac{65}{1000}$ .

$- \frac{65}{1000}$

Cancel the common factor of

$65$ and

$1000$ .

Factor

$5$ out of

$65$ .

$- \frac{5 (13)}{1000}$

Cancel the common factors.

Factor

$5$ out of

$1000$ .

$- \frac{5 \cdot 13}{5 \cdot 200}$

Cancel the common factor.

$- \frac{5 \cdot 13}{5 \cdot 200}$

Rewrite the expression.

$- \frac{13}{200}$