Write the following fractions in descending order:
`7/(40), 7/(17), 7/(30), 7/(6), 7/(50), 7/(2), 1(3)/(4)`

Answer

To write the given fractions in descending order, we will first convert the mixed number into an improper fraction and then compare the fractions based on their denominators since the numerators are the same.

### Step-by-step Solution:

1. **Convert the Mixed Fraction:**
- The mixed fraction given is \(1 \frac{3}{4}\).
- To convert it to an improper fraction, we multiply the whole number (1) by the denominator (4) and add the numerator (3).
- Calculation: \(1 \times 4 + 3 = 4 + 3 = 7\).
- Therefore, \(1 \frac{3}{4} = \frac{7}{4}\).

2. **List All Fractions:**
- Now we have the following fractions to compare:
- \(\frac{7}{40}\)
- \(\frac{7}{17}\)
- \(\frac{7}{30}\)
- \(\frac{7}{6}\)
- \(\frac{7}{50}\)
- \(\frac{7}{2}\)
- \(\frac{7}{4}\)

3. **Identify the Denominators:**
- The denominators of the fractions are:
- \(40, 17, 30, 6, 50, 2, 4\)

4. **Determine the Order:**
- Since the numerators are the same (7), the value of the fraction decreases as the denominator increases.
- Therefore, we will arrange the fractions in descending order based on the size of their denominators:
- The smallest denominator is \(2\), so \(\frac{7}{2}\) is the largest fraction.
- Next is \(\frac{7}{4}\).
- Then \(\frac{7}{6}\).
- Next is \(\frac{7}{17}\).
- Then \(\frac{7}{30}\).
- Next is \(\frac{7}{40}\).
- Finally, \(\frac{7}{50}\) has the largest denominator, making it the smallest fraction.

5. **Final Descending Order:**
- Therefore, the fractions in descending order are:
\[ \frac{7}{2}, \frac{7}{4}, \frac{7}{6}, \frac{7}{17}, \frac{7}{30}, \frac{7}{40}, \frac{7}{50} \]