Question
Fully simplify the following:
12
÷
4
⋅
3
⋅
4
÷
(
13
−
11
)
12÷4⋅3⋅4÷(13−11) Click Here for Help Video
Answers
GPT-4o mini
To simplify the expression \( 12 \div 4 \cdot 3 \cdot 4 \div (13 - 11) \), we will follow the order of operations.
1. First, simplify the parentheses:
\[
13 - 11 = 2
\]
So the expression becomes:
\[
12 \div 4 \cdot 3 \cdot 4 \div 2
\]
2. Next, carry out the division and multiplication from left to right:
- First, do \( 12 \div 4 \):
\[
12 \div 4 = 3
\]
- Then, multiply by \( 3 \):
\[
3 \cdot 3 = 9
\]
- Next, multiply by \( 4 \):
\[
9 \cdot 4 = 36
\]
- Finally, divide by \( 2 \):
\[
36 \div 2 = 18
\]
Therefore, the fully simplified result of the expression is:
\[
\boxed{18}
\]
1. First, simplify the parentheses:
\[
13 - 11 = 2
\]
So the expression becomes:
\[
12 \div 4 \cdot 3 \cdot 4 \div 2
\]
2. Next, carry out the division and multiplication from left to right:
- First, do \( 12 \div 4 \):
\[
12 \div 4 = 3
\]
- Then, multiply by \( 3 \):
\[
3 \cdot 3 = 9
\]
- Next, multiply by \( 4 \):
\[
9 \cdot 4 = 36
\]
- Finally, divide by \( 2 \):
\[
36 \div 2 = 18
\]
Therefore, the fully simplified result of the expression is:
\[
\boxed{18}
\]