Simplify: 1/2(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS).
1/2(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
First, let's calculate inside the parentheses:
16 ÷ 4 + 4 = 4 + 4 = 8
Now we substitute this result back into the original expression:
1/2(8) ÷ (6 × 4 ÷ 8)
Next, let's calculate the multiplication and division from left to right:
6 × 4 = 24
24 ÷ 8 = 3
Now we substitute this result back into the expression:
1/2(8) ÷ 3
Then we perform the multiplication:
1/2 × 8 = 4
Now we substitute this result back into the expression:
4 ÷ 3
Finally, we perform the division:
4 ÷ 3 = 1.333...
Therefore, the simplified form of the expression is 1.333...
Simplify: 12(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
Responses
A 1/2
B 1
C 4/3
D 3
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS).
12(16 ÷ 4 + 4) ÷ (6 × 4 ÷ 8)
First, let's calculate inside the parentheses:
16 ÷ 4 + 4 = 4 + 4 = 8
Now we substitute this result back into the original expression:
12(8) ÷ (6 × 4 ÷ 8)
Next, let's calculate the multiplication and division from left to right:
6 × 4 = 24
24 ÷ 8 = 3
Now we substitute this result back into the expression:
12(8) ÷ 3
Next, let's perform the multiplication:
12 × 8 = 96
Now we substitute this result back into the expression:
96 ÷ 3
Finally, we perform the division:
96 ÷ 3 = 32
Therefore, the simplified form of the expression is 32.
The correct answer is D) 32.