Evaluate the following expression.(Type an integer or a simplified fraction.)
StartFraction 8 minus 8 divided by 4 plus left parenthesis negative 12 right parenthesis Over 6 times 4 minus 9 times 0 EndFraction
To evaluate the expression, we need to follow the order of operations (PEMDAS):
1. Evaluate the division inside the parentheses:
(8 - (8 ÷ 4) + (-12)) / (6 × 4 - 9 × 0)
= (8 - 2 + (-12)) / (24 - 0)
= (8 - 2 - 12) / 24
= -6 / 24
2. Simplify the fraction:
-6 / 24 = -1 / 4
So, the evaluated expression is -1/4.
To evaluate the expression, we can follow the order of operations (PEMDAS/BODMAS).
First, we need to simplify the numerator: 8 - 8 ÷ 4 + (-12).
The division comes first, so 8 ÷ 4 is equal to 2.
Next, we can simplify the numerator: 8 - 2 + (-12).
The subtraction and addition should be done from left to right. So, starting from the left:
8 - 2 = 6
Now, we have: 6 + (-12).
Adding a negative number is the same as subtracting that number, so 6 + (-12) is equal to 6 - 12, which gives us -6.
Now, let's simplify the denominator: 6 × 4 - 9 × 0.
Anything multiplied by 0 is 0, so 9 × 0 equals 0.
Next, we have 6 × 4:
6 × 4 = 24.
Now, we have the fraction: -6/24.
Finally, we can simplify the fraction. Both the numerator and denominator are divisible by 6.
-6 ÷ 6 = -1 and 24 ÷ 6 = 4.
So, the simplified fraction is -1/4.