6+6/6*6+6=24 where do I put the parentheses to make it equal 24?
To ensure that the expression equals 24, you need to place parentheses in a way that follows the order of operations: parentheses, exponents, multiplication and division (from left to right), and then addition and subtraction (from left to right).
Let's break down the given expression step by step:
6 + 6 / 6 * 6 + 6
First, we perform the division: 6 / 6 = 1
The expression becomes:
6 + 1 * 6 + 6
Now, let's do the multiplication: 1 * 6 = 6
The expression becomes:
6 + 6 + 6
Finally, perform the additions: 6 + 6 = 12, and then 12 + 6 = 18
Therefore, the original expression evaluates to 18, not 24.
If you want the expression to equal 24, you need to place parentheses accordingly.
One possible arrangement is:
(6 + 6) / (6 * 6 + 6)
First, perform the additions: 6 + 6 = 12
The expression becomes:
12 / (6 * 6 + 6)
Next, perform the multiplication: 6 * 6 = 36
The expression becomes:
12 / (36 + 6)
Then, do the addition: 36 + 6 = 42
The expression becomes:
12 / 42
Finally, perform the division: 12 / 42 = 0.2857 (rounded to four decimal places)
So, the correct placement of parentheses to make the expression equal to 24 is (6 + 6) / (6 * 6 + 6).