What would be the result for the following expression?
`((4 +4+4+4)div2)/(2+2+2+2div2)`

Options

A. `7/8`
B. 1
C. 2
D. `8/7`

Answer

To solve the expression \(((4 + 4 + 4 + 4) \div 2) / (2 + 2 + 2 + 2 \div 2)\), we will follow the order of operations (BODMAS/BIDMAS rules: Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Calculate the numerator**:
- First, we simplify the expression inside the first set of brackets:
\[ 4 + 4 + 4 + 4 = 16 \]
- Now, divide this sum by 2:
\[ 16 \div 2 = 8 \]

2. **Calculate the denominator**:
- Next, we simplify the expression inside the second set of brackets:
\[ 2 + 2 + 2 + 2 \div 2 \]
- According to the order of operations, we perform the division first:
\[ 2 \div 2 = 1 \]
- Now, we add the results:
\[ 2 + 2 + 2 + 1 = 7 \]

3. **Combine the results**:
- Now we have the numerator and denominator:
\[ \frac{8}{7} \]

### Final Result:
The result of the expression \(((4 + 4 + 4 + 4) \div 2) / (2 + 2 + 2 + 2 \div 2)\) is:
\[ \frac{8}{7} \]