Arrange the fractions in descending 0rder:
`5/(8), 8/(15), 16/(21)`

Answer

To arrange the fractions \( \frac{5}{8}, \frac{8}{15}, \frac{16}{21} \) in descending order, we will convert each fraction into a decimal by performing division.

### Step-by-Step Solution:

1. **Convert \( \frac{5}{8} \) to a decimal:**
- Divide 5 by 8.
- \( 5 \div 8 = 0.625 \)

2. **Convert \( \frac{8}{15} \) to a decimal:**
- Divide 8 by 15.
- \( 8 \div 15 \approx 0.5333 \) (continuing decimal)

3. **Convert \( \frac{16}{21} \) to a decimal:**
- Divide 16 by 21.
- \( 16 \div 21 \approx 0.7619 \) (continuing decimal)

4. **Compare the decimal values:**
- \( \frac{16}{21} \approx 0.7619 \)
- \( \frac{5}{8} = 0.625 \)
- \( \frac{8}{15} \approx 0.5333 \)

5. **Arrange in descending order:**
- The largest decimal is \( 0.7619 \) (which corresponds to \( \frac{16}{21} \)).
- The next largest is \( 0.625 \) (which corresponds to \( \frac{5}{8} \)).
- The smallest is \( 0.5333 \) (which corresponds to \( \frac{8}{15} \)).

Thus, the fractions in descending order are:
\[ \frac{16}{21}, \frac{5}{8}, \frac{8}{15} \]