Which sequence is in desending order:

Options

A. `2/3,3/5,7/9,9/11,8/9`
B. `3/5,2/3,7/9,9/11,8/9`
C. `8/9,9/11,7/9,2/3,3/5`
D. `3/5,2/3,9/11,7/9,8/9`

Answer

To determine which sequence is in descending order, we need to compare the fractions given in the options. Let's analyze the fractions step by step.

### Step-by-Step Solution:

1. **List the Fractions:**
The fractions given in the options are:
- Option 1: \( \frac{2}{3} \)
- Option 2: \( \frac{3}{5} \)
- Option 3: \( \frac{7}{9} \)
- Option 4: \( \frac{9}{11} \)
- Option 5: \( \frac{8}{9} \)

2. **Convert Fractions to Decimal:**
To easily compare the fractions, we can convert them to decimal form:
- \( \frac{2}{3} = 0.6667 \)
- \( \frac{3}{5} = 0.6000 \)
- \( \frac{7}{9} = 0.7778 \)
- \( \frac{9}{11} = 0.8182 \)
- \( \frac{8}{9} = 0.8889 \)

3. **Compare the Decimals:**
Now we can compare the decimal values:
- \( 0.8889 \) (from \( \frac{8}{9} \))
- \( 0.8182 \) (from \( \frac{9}{11} \))
- \( 0.7778 \) (from \( \frac{7}{9} \))
- \( 0.6667 \) (from \( \frac{2}{3} \))
- \( 0.6000 \) (from \( \frac{3}{5} \))

4. **Arrange in Descending Order:**
Based on the decimal values, we can arrange the fractions in descending order:
- \( \frac{8}{9} \)
- \( \frac{9}{11} \)
- \( \frac{7}{9} \)
- \( \frac{2}{3} \)
- \( \frac{3}{5} \)

5. **Identify the Correct Option:**
The sequence in descending order is:
- \( \frac{8}{9}, \frac{9}{11}, \frac{7}{9}, \frac{2}{3}, \frac{3}{5} \)
Therefore, the correct option that represents this sequence is Option 3.

### Final Answer:
The sequence in descending order is:
- \( \frac{8}{9}, \frac{9}{11}, \frac{7}{9}, \frac{2}{3}, \frac{3}{5} \)