Processing math: 100%

Convert to a Simplified Fraction -0.12

$- 0.12$

Step 1

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

$2$ numbers to the right of the decimal point, place the decimal number over

$10^{2}$

$(100)$ . Next, add the whole number to the left of the decimal.

$- 0 \frac{12}{100}$

Step 2

Reduce the fraction.

Convert

$0 \frac{12}{100}$ to an improper fraction.

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

$- (0 + \frac{12}{100})$

Add

$0$ and

$\frac{12}{100}$ .

$- \frac{12}{100}$

Cancel the common factor of

$12$ and

$100$ .

Factor

$4$ out of

$12$ .

$- \frac{4 (3)}{100}$

Cancel the common factors.

Factor

$4$ out of

$100$ .

$- \frac{4 \cdot 3}{4 \cdot 25}$

Cancel the common factor.

$- \frac{4 \cdot 3}{4 \cdot 25}$

Rewrite the expression.

$- \frac{3}{25}$