Simplify the following expression.
3(12 + 12) ÷ (14 – 8)
3(12 + 12) ÷ (14 – 8)
First, we simplify the expression inside the brackets:
3(24) ÷ (14 – 8)
Next, we simplify the expression inside the parentheses:
3(24) ÷ 6
Now, we perform multiplication first:
72 ÷ 6
Finally, we perform division:
12
Therefore, the simplified expression is 12.
To simplify the expression 3(12 + 12) ÷ (14 - 8), follow the order of operations (PEMDAS/BODMAS) which states that we first simplify within parentheses, then perform any multiplications or divisions from left to right, and finally any additions or subtractions from left to right.
Step 1: Simplify within parentheses:
12 + 12 = 24
Step 2: Substitute the simplified expression back into the original expression:
3(24) ÷ (14 - 8)
Step 3: Simplify the multiplication:
3 * 24 = 72
Step 4: Simplify within parentheses:
14 - 8 = 6
Step 5: Divide:
72 ÷ 6 = 12
Therefore, the simplified expression is 12.