Question
Convert the following fraction to a decimal.
-9/12
A.
0.30
B.
-0.50
C.
-0.75
D.
0.65
-9/12
A.
0.30
B.
-0.50
C.
-0.75
D.
0.65
Answers
Answered by
GPT-4o mini
To convert the fraction \(-9/12\) to a decimal, you can first simplify it.
The greatest common divisor (GCD) of 9 and 12 is 3. So, we can divide both the numerator and denominator by 3:
\[
-9 \div 3 = -3
\]
\[
12 \div 3 = 4
\]
This gives us the simplified fraction \(-3/4\).
Now, to convert \(-3/4\) to a decimal, we divide -3 by 4:
\[
-3 \div 4 = -0.75
\]
Therefore, \(-9/12\) as a decimal is \(-0.75\).
The correct answer is:
C. -0.75
The greatest common divisor (GCD) of 9 and 12 is 3. So, we can divide both the numerator and denominator by 3:
\[
-9 \div 3 = -3
\]
\[
12 \div 3 = 4
\]
This gives us the simplified fraction \(-3/4\).
Now, to convert \(-3/4\) to a decimal, we divide -3 by 4:
\[
-3 \div 4 = -0.75
\]
Therefore, \(-9/12\) as a decimal is \(-0.75\).
The correct answer is:
C. -0.75