If the methematical operator + means division '-' means multiplication . `xx` means subtraction and `div` means addition, then the value of
`1xx7+21xx2div2+3-4` is
A. 8/3
B. 4/3
C `-4//3`
D`-8//3`

Options

A. B
B. D
C. A
D. C

Answer

To solve the expression `1xx7+21xx2div2+3-4` with the given operator meanings, we will first replace the operators according to the definitions provided:

- `+` means division
- `-` means multiplication
- `xx` means subtraction
- `div` means addition

Now, let's rewrite the expression step by step:

1. **Rewrite the expression using the new operator meanings:**
- Original: `1xx7 + 21xx2 div 2 + 3 - 4`
- Rewritten: `1 - 7 ÷ 21 - 2 + 2 + 3 × 4`

2. **Apply the rewritten operators:**
- `1 - 7` becomes `1 - 7 = -6`
- `-6 ÷ 21` becomes `-6 / 21 = -2/7`
- `-2 - 2` becomes `-2 - 2 = -4`
- `-4 + 2` becomes `-4 + 2 = -2`
- `-2 + 3 × 4` becomes `-2 + 12 = 10`

3. **Final expression:**
- Now we need to combine the results:
- `-2 + 12 = 10`

4. **Final answer:**
- The final value of the expression is `10`.

However, we need to ensure we follow the order of operations (BODMAS/BIDMAS rules):

1. **Division first:**
- Calculate `7 ÷ 21 = 1/3`
- Now the expression is `1 - (1/3) - 2 + 2 + 3 × 4`

2. **Multiplication next:**
- Calculate `3 × 4 = 12`
- Now the expression is `1 - (1/3) - 2 + 2 + 12`

3. **Combine the terms:**
- Convert everything to a common denominator (which is 3):
- `1 = 3/3`
- `-2 = -6/3`
- `2 = 6/3`
- `12 = 36/3`
- Now the expression is `3/3 - 1/3 - 6/3 + 6/3 + 36/3`

4. **Combine all fractions:**
- `3 - 1 - 6 + 6 + 36 = 38/3`

So, the final answer is `38/3`.

**Final Answer:**
- The value of the expression is `38/3`.