To solve the expression \( \frac{7}{8} - 75\% + 0.45 \times \frac{14}{9} \), follow the order of operations (PEMDAS/BODMAS):

1. **Convert 75% to a decimal**:
   \[
   75\% = 0.75
   \]

2. **Evaluate the multiplication**:
   \[
   0.45 \times \frac{14}{9} = 0.45 \times 1.555\overline{5} \approx 0.7
   \]

3. **Now substitute back into the expression**:
   \[
   \frac{7}{8} - 0.75 + 0.7
   \]

4. **Simplify the expression**:
   - First, convert \(\frac{7}{8}\) to a decimal:
     \[
     \frac{7}{8} = 0.875
     \]
   - Then, perform the subtraction and addition:
     \[
     0.875 - 0.75 + 0.7 = 0.125 + 0.7 = 0.825
     \]

So, the result of the expression \( \frac{7}{8} - 75\% + 0.45 \times \frac{14}{9} \) is **0.825**.

Would you like details or have any questions?

Here are some related questions:
1. How do you convert percentages to decimals?
2. What are the steps for solving an equation using the order of operations?
3. How does fraction multiplication work?
4. Can you show how to add and subtract fractions with different denominators?
5. What is the importance of converting fractions to decimals?
6. How do you simplify complex expressions?
7. What is the difference between multiplying fractions and multiplying decimals?
8. How do you estimate results in arithmetic operations?

**Tip**: Always handle percentages by converting them to decimals before including them in expressions for easier calculations.

Learn how to solve the expression 7/8 - 75% + 0.45 * 14/9 step-by-step with detailed explanations. This problem covers key math concepts including order of operations, percentage to decimal conversion, and fraction arithmetic. Suitable for Grades 6-8 students.

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