To add the fractions \( 1 + \frac{1}{2} + \frac{1}{2} + \frac{1}{4} + \frac{5}{8} \), let's follow these steps:

1. First, convert all the fractions to have the same denominator.
   - \( \frac{1}{2} \) is equal to \( \frac{4}{8} \) (since \( \frac{1 \times 4}{2 \times 4} = \frac{4}{8} \)).
   - \( \frac{1}{4} \) is equal to \( \frac{2}{8} \) (since \( \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \)).
   - \( \frac{5}{8} \) stays the same.

2. Add all the fractions together:
   \[
   1 + \frac{4}{8} + \frac{4}{8} + \frac{2}{8} + \frac{5}{8}
   \]

3. Combine the fractions:
   \[
   1 + \frac{4 + 4 + 2 + 5}{8} = 1 + \frac{15}{8}
   \]

4. Convert the improper fraction \( \frac{15}{8} \) to a mixed number:
   \[
   \frac{15}{8} = 1 \frac{7}{8}
   \]

5. Add the whole numbers together:
   \[
   1 + 1 \frac{7}{8} = 2 \frac{7}{8}
   \]

So, the sum is \( 2 \frac{7}{8} \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you add fractions with different denominators?
2. What is the process for converting an improper fraction to a mixed number?
3. How do you subtract mixed numbers?
4. What is the least common denominator and how is it used?
5. How do you multiply mixed numbers?

**Tip:** When adding fractions, always ensure they have a common denominator before combining them.

Learn how to add fractions 1, 1/2, 1/2, 1/4, and 5/8 with a detailed step-by-step solution. This problem covers key arithmetic operations involving fractions and mixed numbers. Suitable for students in Grades 5-8.

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