Write six improper fraction with numerator 13.

Answer

To solve the question of writing six improper fractions with a numerator of 13, we need to follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Improper Fractions**:
An improper fraction is defined as a fraction where the numerator is greater than or equal to the denominator. In our case, the numerator is fixed at 13.

2. **Choose Denominators**:
To create improper fractions, we need to choose denominators that are less than or equal to 13. This is because for the fraction to be improper, the numerator (13) must be greater than or equal to the denominator.

3. **List the Improper Fractions**:
We can choose different denominators to create our improper fractions. Here are six examples:
- \( \frac{13}{1} \) (Denominator is 1)
- \( \frac{13}{2} \) (Denominator is 2)
- \( \frac{13}{3} \) (Denominator is 3)
- \( \frac{13}{4} \) (Denominator is 4)
- \( \frac{13}{5} \) (Denominator is 5)
- \( \frac{13}{6} \) (Denominator is 6)

4. **Verify Each Fraction**:
Each of these fractions has a numerator of 13, which is greater than the respective denominators (1, 2, 3, 4, 5, and 6). Therefore, all of these are indeed improper fractions.

### Final Answer:
The six improper fractions with a numerator of 13 are:
1. \( \frac{13}{1} \)
2. \( \frac{13}{2} \)
3. \( \frac{13}{3} \)
4. \( \frac{13}{4} \)
5. \( \frac{13}{5} \)
6. \( \frac{13}{6} \)