Evaluating the Expression: 12-(1/2+2/3)
In this article, we will evaluate the expression 12-(1/2+2/3) using the order of operations (PEMDAS).
Step 1: Evaluate the expressions inside the parentheses
First, let's evaluate the expressions inside the parentheses:
(1/2+2/3)
To evaluate this expression, we need to follow the order of operations:
- Divide 1 by 2: 1/2 = 0.5
- Divide 2 by 3: 2/3 = 0.67
- Add 0.5 and 0.67: 0.5 + 0.67 = 1.17
So, the expression inside the parentheses is equal to 1.17.
Step 2: Evaluate the entire expression
Now, let's evaluate the entire expression:
12 - (1/2+2/3) = 12 - 1.17
Subtract 1.17 from 12:
12 - 1.17 = 10.83
Therefore, the final answer is:
12-(1/2+2/3) = 10.83
Conclusion
In this article, we evaluated the expression 12-(1/2+2/3) by following the order of operations (PEMDAS). We evaluated the expressions inside the parentheses first, and then evaluated the entire expression. The final answer is 10.83.