Write six improper fractions with denominator 5.

Answer

To solve the problem of writing six improper fractions with a denominator of 5, we can follow these steps:

### Step-by-Step Solution:

1. **Understand what an improper fraction is**: An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).

2. **Identify the denominator**: In this case, the denominator is given as 5.

3. **Choose numerators that are greater than 5**: Since we need the numerators to be greater than the denominator (5), we can start with numbers like 6, 7, 8, 9, 10, and so on.

4. **Write the first improper fraction**:
- Choose 6 as the numerator.
- The first improper fraction is \( \frac{6}{5} \).

5. **Write the second improper fraction**:
- Choose 7 as the numerator.
- The second improper fraction is \( \frac{7}{5} \).

6. **Write the third improper fraction**:
- Choose 8 as the numerator.
- The third improper fraction is \( \frac{8}{5} \).

7. **Write the fourth improper fraction**:
- Choose 9 as the numerator.
- The fourth improper fraction is \( \frac{9}{5} \).

8. **Write the fifth improper fraction**:
- Choose 10 as the numerator.
- The fifth improper fraction is \( \frac{10}{5} \).

9. **Write the sixth improper fraction**:
- Choose 11 as the numerator.
- The sixth improper fraction is \( \frac{11}{5} \).

### Final Answer:
The six improper fractions with a denominator of 5 are:
1. \( \frac{6}{5} \)
2. \( \frac{7}{5} \)
3. \( \frac{8}{5} \)
4. \( \frac{9}{5} \)
5. \( \frac{10}{5} \)
6. \( \frac{11}{5} \)