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Let's evaluate the given expressions step by step based on the values provided:

- \( a = \frac{7}{8}, \, b = -\frac{7}{16}, \, c = 0.8, \, d = 4 \)

### 1. \( \frac{a}{b} - c + d \)
Substitute the values:
\[
\frac{\frac{7}{8}}{-\frac{7}{16}} - 0.8 + 4
\]
Simplify:
\[
\frac{7}{8} \div -\frac{7}{16} = -2
\]
Thus:
\[
-2 - 0.8 + 4 = 1.2
\]
Answer: \( 1.2 \)

---

### 2. \( a + b + cd \)
Substitute the values:
\[
\frac{7}{8} + \left(-\frac{7}{16}\right) + 0.8 \cdot 4
\]
Simplify:
\[
\frac{7}{8} - \frac{7}{16} + 3.2
\]
\[
\frac{7}{8} = \frac{14}{16}, \, \frac{14}{16} - \frac{7}{16} = \frac{7}{16}
\]
\[
\frac{7}{16} + 3.2 = 3.6375
\]
Answer: \( 3.6375 \)

---

### 3. \( c - \frac{a}{b} + d \)
Substitute the values:
\[
0.8 - \frac{\frac{7}{8}}{-\frac{7}{16}} + 4
\]
Simplify:
\[
\frac{7}{8} \div -\frac{7}{16} = -2
\]
Thus:
\[
0.8 - (-2) + 4 = 0.8 + 2 + 4 = 6.8
\]
Answer: \( 6.8 \)

---

### 4. \( b + c + d \)
Substitute the values:
\[
-\frac{7}{16} + 0.8 + 4
\]
Simplify:
\[
-0.4375 + 0.8 + 4 = 4.3625
\]
Answer: \( 4.3625 \)

---

### 5. \( d^2 - b \)
Substitute the values:
\[
4^2 - \left(-\frac{7}{16}\right)
\]
Simplify:
\[
16 - (-0.4375) = 16 + 0.4375 = 16.4375
\]
Answer: \( 16.4375 \)

---

### 6. \( a + b - c + d \)
Substitute the values:
\[
\frac{7}{8} + \left(-\frac{7}{16}\right) - 0.8 + 4
\]
Simplify:
\[
\frac{7}{8} - \frac{7}{16} = \frac{7}{16}, \quad \frac{7}{16} - 0.8 + 4
\]
\[
0.4375 - 0.8 + 4 = 3.6375
\]
Answer: \( 3.6375 \)

---

Would you like a detailed step-by-step breakdown for any specific problem or clarification on simplifying fractions? Here are some related questions you might explore:

1. How can we simplify \(\frac{a}{b}\) efficiently in fractions?
2. How does the order of operations affect these calculations?
3. Why is \( \frac{\frac{7}{8}}{-\frac{7}{16}} = -2 \)?
4. How can we convert fractions into decimals during calculations?
5. Why is \( d^2 \) calculated first in problem 5?

**Tip:** Always simplify fractions before performing operations to make calculations easier.

Evaluate each expression if a = 7/8, b = -7/16, c = 0.8, d = 4.

Learn how to evaluate expressions involving fractions, decimals, and exponents with step-by-step solutions. Explore key concepts such as fraction division, arithmetic with decimals, and the order of operations.

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