Write the following fractions in descending order:
`5/(54), 5/(27), 5/(33), 5/(16), 5/(28), 5/(9), 5/(39)`

Answer

To write the fractions \( \frac{5}{54}, \frac{5}{27}, \frac{5}{33}, \frac{5}{16}, \frac{5}{28}, \frac{5}{9}, \frac{5}{39} \) in descending order, we can follow these steps:

### Step 1: Identify the fractions
We have the following fractions:
- \( \frac{5}{54} \)
- \( \frac{5}{27} \)
- \( \frac{5}{33} \)
- \( \frac{5}{16} \)
- \( \frac{5}{28} \)
- \( \frac{5}{9} \)
- \( \frac{5}{39} \)

### Step 2: Compare the denominators
Since all the numerators are the same (5), we can compare the fractions by looking at their denominators. The smaller the denominator, the larger the value of the fraction.

### Step 3: List the denominators
The denominators are:
- 54
- 27
- 33
- 16
- 28
- 9
- 39

### Step 4: Arrange the denominators in ascending order
Now, we will arrange the denominators from smallest to largest:
- 9
- 16
- 27
- 28
- 33
- 39
- 54

### Step 5: Write the fractions in descending order
Now, we can write the fractions in descending order based on the arrangement of their denominators:
1. \( \frac{5}{9} \) (largest)
2. \( \frac{5}{16} \)
3. \( \frac{5}{27} \)
4. \( \frac{5}{28} \)
5. \( \frac{5}{33} \)
6. \( \frac{5}{39} \)
7. \( \frac{5}{54} \) (smallest)

### Final Answer
Thus, the fractions in descending order are:
\[ \frac{5}{9}, \frac{5}{16}, \frac{5}{27}, \frac{5}{28}, \frac{5}{33}, \frac{5}{39}, \frac{5}{54} \]

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