Arrange `(9)/(11), (9)/(7), (9)/(15), (9)/(13), (9)/(5)` in ascending order.

Answer

To arrange the fractions \( \frac{9}{11}, \frac{9}{7}, \frac{9}{15}, \frac{9}{13}, \frac{9}{5} \) in ascending order, we can follow these steps:

### Step 1: Identify the fractions
We have the following fractions:
- \( \frac{9}{11} \)
- \( \frac{9}{7} \)
- \( \frac{9}{15} \)
- \( \frac{9}{13} \)
- \( \frac{9}{5} \)

### Step 2: Compare the denominators
Since all fractions have the same numerator (9), we can compare them based on their denominators. The fraction with the largest denominator will be the smallest, and the fraction with the smallest denominator will be the largest.

The denominators are:
- 11
- 7
- 15
- 13
- 5

### Step 3: Arrange the denominators in ascending order
Now, let's arrange the denominators from smallest to largest:
- 5 (smallest)
- 7
- 11
- 13
- 15 (largest)

### Step 4: Write the corresponding fractions
Now, we can write the fractions corresponding to the arranged denominators:
- The smallest denominator is 5, so \( \frac{9}{5} \) is the largest fraction.
- The next is 7, so \( \frac{9}{7} \).
- Next is 11, so \( \frac{9}{11} \).
- Next is 13, so \( \frac{9}{13} \).
- The largest denominator is 15, so \( \frac{9}{15} \) is the smallest fraction.

### Step 5: Write the fractions in ascending order
Thus, the fractions in ascending order are:
1. \( \frac{9}{15} \)
2. \( \frac{9}{13} \)
3. \( \frac{9}{11} \)
4. \( \frac{9}{7} \)
5. \( \frac{9}{5} \)

### Final Answer
The fractions arranged in ascending order are:
\[ \frac{9}{15}, \frac{9}{13}, \frac{9}{11}, \frac{9}{7}, \frac{9}{5} \]

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