Question

convert the following fraction to a decimal.
$-\frac{9}{12}$
a. -0.50
b. 0.30
c. -0.75
d. 0.65

Explanation:

Step1: Simplify the fraction

First, simplify \(-\frac{9}{12}\). We can divide both the numerator and the denominator by their greatest common divisor, which is 3. So, \(\frac{9\div3}{12\div3}=\frac{3}{4}\), and the fraction remains negative, so we have \(-\frac{3}{4}\).

Step2: Convert to decimal

To convert \(\frac{3}{4}\) to a decimal, we perform the division \(3\div4\). \(3\div4 = 0.75\). Since the original fraction was negative, the decimal is \(-0.75\).

Answer:

C. -0.75