Arrange the following fraction in descending order:
`(3)/(7), (3)/(11), (3)/(5), (3)/(13), (3)/(4), (3)/(17)`

Answer

To arrange the fractions \( \frac{3}{7}, \frac{3}{11}, \frac{3}{5}, \frac{3}{13}, \frac{3}{4}, \frac{3}{17} \) in descending order, we can follow these steps:

### Step 1: Identify the fractions
We have the following fractions:
- \( \frac{3}{7} \)
- \( \frac{3}{11} \)
- \( \frac{3}{5} \)
- \( \frac{3}{13} \)
- \( \frac{3}{4} \)
- \( \frac{3}{17} \)

### Step 2: Note the common numerator
All the fractions have the same numerator, which is 3. This means we can compare them based on their denominators.

### Step 3: Apply the rule for comparing fractions
When the numerators are the same, the fraction with the smaller denominator is the larger fraction. Therefore, we need to compare the denominators:
- Denominators: 7, 11, 5, 13, 4, 17

### Step 4: List the denominators in ascending order
Arranging the denominators from smallest to largest:
- 4 (smallest)
- 5
- 7
- 11
- 13
- 17 (largest)

### Step 5: Write the fractions in descending order based on the denominators
Using the order of the denominators, we can now write the fractions in descending order:
1. \( \frac{3}{4} \) (smallest denominator)
2. \( \frac{3}{5} \)
3. \( \frac{3}{7} \)
4. \( \frac{3}{11} \)
5. \( \frac{3}{13} \)
6. \( \frac{3}{17} \) (largest denominator)

### Final Answer
Thus, the fractions arranged in descending order are:
\[ \frac{3}{4}, \frac{3}{5}, \frac{3}{7}, \frac{3}{11}, \frac{3}{13}, \frac{3}{17} \]

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