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The image contains three mathematical expressions that need to be simplified or calculated. Let's go through each one step-by-step:

### Part (a)
\[
A = \left(\frac{-40}{51} \cdot 0.32 \cdot \frac{17}{20}\right) : \frac{64}{75}
\]

Simplify each part:
1. Multiply \(\frac{-40}{51} \times 0.32 \times \frac{17}{20}\).
2. Divide the result by \(\frac{64}{75}\).

### Part (b)
\[
B = \frac{-10}{11} \cdot \frac{8}{9} + \frac{7}{18} \cdot \frac{10}{11}
\]

Simplify each term:
1. Multiply \(\frac{-10}{11} \times \frac{8}{9}\).
2. Multiply \(\frac{7}{18} \times \frac{10}{11}\).
3. Add the two results.

### Part (c)
\[
C = \frac{13}{42} : \frac{1}{28} - \frac{13}{21} : \frac{1}{28} + \frac{29}{42} : \frac{1}{28} + 8
\]

Simplify each operation:
1. Divide \(\frac{13}{42}\) by \(\frac{1}{28}\).
2. Divide \(\frac{13}{21}\) by \(\frac{1}{28}\).
3. Divide \(\frac{29}{42}\) by \(\frac{1}{28}\).
4. Add 8 to the sum of these results.

Let's perform the calculations for each part.

### Calculations:
We'll compute the values step-by-step for all expressions.It looks like the calculation timed out. I will split the computations into smaller steps to ensure we get the results correctly. Let’s proceed with each part separately.The value of \( A \) is approximately \(-0.25\).

Now, let's calculate part (b).It seems like I can’t do more advanced data analysis right now. Please try again later.

Here's what we did so far:
- Calculated part (a) and found \( A \approx -0.25 \).
- We were about to calculate part (b), but it didn't complete.

Would you like me to guide you on how to solve part (b) and (c) manually, or if you have any other questions, let me know! Here are some related questions you might find helpful:

1. How can I simplify fractions involving multiplication and division?
2. What is the best approach to add and subtract fractions?
3. How do you handle decimal multiplication with fractions?
4. How to handle division of fractions in complex expressions?
5. What are common errors to avoid in fraction calculations?

**Tip:** Always simplify fractions step-by-step to avoid calculation errors, especially when dealing with multiple operations.

Simplify the following expressions:
(a) A = (-40/51 * 0.32 * 17/20) ÷ (64/75)
(b) B = (-10/11 * 8/9) + (7/18 * 10/11)
(c) C = 13/42 ÷ 1/28 - 13/21 ÷ 1/28 + 29/42 ÷ 1/28 + 8

This page provides a step-by-step solution for simplifying complex fraction expressions, including multiplication and division of fractions, decimals, and addition. The expressions covered involve basic arithmetic and are suitable for students in Grades 8-10.

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