Simplify : `{36-:(-9)}-:{(-24)-:6}`

Options

A. `2`
B. `1`
C. `3`
D. `4`

Answer

To simplify the expression `{36 -: (-9)} -: {(-24) -: 6}`, we will follow the order of operations, often remembered by the acronym BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the Expression**:
The expression we need to simplify is `{36 -: (-9)} -: {(-24) -: 6}`.

2. **Solve the Inner Brackets**:
- First, we solve the inner brackets:
- For the first bracket: `36 -: (-9)` means `36 ÷ (-9)`.
- For the second bracket: `(-24) -: 6` means `-24 ÷ 6`.

3. **Calculate Each Division**:
- Calculate `36 ÷ (-9)`:
\[ 36 ÷ (-9) = -4 \]
- Calculate `-24 ÷ 6`:
\[ -24 ÷ 6 = -4 \]

4. **Substituting Back into the Expression**:
Now, substitute the results back into the expression:
\[ -4 -: -4 \]
This means:
\[ -4 ÷ (-4) \]

5. **Final Division**:
- Now, calculate `-4 ÷ (-4)`:
\[ -4 ÷ (-4) = 1 \]

### Final Answer:
The simplified result of the expression `{36 -: (-9)} -: {(-24) -: 6}` is **1**.