Arrange the fractions: `3/(8), 10/(16), 8/(32), 1/(8)` in descending order.

Answer

To arrange the fractions \( \frac{3}{8}, \frac{10}{16}, \frac{8}{32}, \frac{1}{8} \) in descending order, we will follow these steps:

### Step 1: Simplify the fractions
We will simplify each fraction to make comparison easier.

1. **Fraction \( \frac{3}{8} \)**: This fraction cannot be simplified further, so it remains \( \frac{3}{8} \).
2. **Fraction \( \frac{10}{16} \)**: We can simplify this by dividing both the numerator and the denominator by 2:
\[ \frac{10 \div 2}{16 \div 2} = \frac{5}{8} \]
3. **Fraction \( \frac{8}{32} \)**: We can simplify this by dividing both the numerator and the denominator by 4:
\[ \frac{8 \div 4}{32 \div 4} = \frac{2}{8} \]
4. **Fraction \( \frac{1}{8} \)**: This fraction also cannot be simplified further, so it remains \( \frac{1}{8} \).

After simplification, we have:
- \( \frac{3}{8} \)
- \( \frac{5}{8} \)
- \( \frac{2}{8} \)
- \( \frac{1}{8} \)

### Step 2: Compare the fractions
Now that we have simplified the fractions, we can compare them. Since all the fractions have the same denominator (8), we can simply compare the numerators to determine their order.

- The numerators are: 3, 5, 2, and 1.

### Step 3: Arrange in descending order
To arrange the fractions in descending order, we will list them from the largest numerator to the smallest:

1. The largest numerator is 5, which corresponds to \( \frac{5}{8} \) (or \( \frac{10}{16} \)).
2. The next largest is 3, which corresponds to \( \frac{3}{8} \).
3. The next is 2, which corresponds to \( \frac{2}{8} \) (or \( \frac{8}{32} \)).
4. The smallest is 1, which corresponds to \( \frac{1}{8} \).

Thus, the fractions in descending order are:
\[ \frac{5}{8}, \frac{3}{8}, \frac{2}{8}, \frac{1}{8} \]

### Final Answer
In terms of the original fractions, we can write them as:
\[ \frac{10}{16}, \frac{3}{8}, \frac{8}{32}, \frac{1}{8} \]