https://file.aiquickdraw.com/mathbot/file/17276536006101jxc3na5.jpg

Let's break down and solve the expression step by step from the image.

The expression is:

\[
5.5 - \left( \frac{3 \div 2}{5} \right) + \left( \frac{-6}{17} \div \frac{2}{34} \right)
\]

### Step-by-step solution:

1. **First term: \( 5.5 \)**

   This is a simple constant and remains as \( 5.5 \).

2. **Second term: \( \frac{3 \div 2}{5} \)**

   - First, evaluate the division inside the numerator: \( 3 \div 2 = 1.5 \).
   - Then, divide by 5: \( \frac{1.5}{5} = 0.3 \).

   So, the second term becomes \( 0.3 \).

3. **Third term: \( \frac{-6}{17} \div \frac{2}{34} \)**

   - To divide two fractions, multiply by the reciprocal:
     \[
     \frac{-6}{17} \div \frac{2}{34} = \frac{-6}{17} \times \frac{34}{2} = \frac{-6 \times 34}{17 \times 2} = \frac{-204}{34} = -6
     \]

### Putting everything together:

Now we have:

\[
5.5 - 0.3 + (-6)
\]

Simplify the expression:

\[
5.5 - 0.3 - 6 = -0.8
\]

So, the result is \( \boxed{-0.8} \).

### The correct answer is B: \(-0.8\).

Would you like more details on any part of the solution, or have additional questions? Here are five related questions for deeper understanding:

1. How do you divide fractions when one is a negative value?
2. What is the general rule for dividing two fractions?
3. How would the result change if we changed the values in the denominator?
4. What would happen if the negative sign was placed outside the entire fraction instead of in the numerator?
5. How would you simplify more complex fractions with additional terms?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor.

Hasil dari 5,5 - (3 ÷ 2) / 5 + (-6 / 17) ÷ (2 / 34) = ...

Learn how to solve the arithmetic expression 5.5 - (3 ÷ 2) / 5 + (-6 / 17) ÷ (2 / 34) with a detailed step-by-step solution. This problem covers key mathematical concepts such as fraction division and basic arithmetic. Suitable for students in Grades 8-10.

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