The fractions `(44)/(49), (33)/(38), (22)/(25) " and " (24)/(29)` are written in descending order as

Options

A. `(44)/(49), (33)/(38), (24)/(29), (22)/(25)`
B. `(24)/(29), (33)/(38), (22)/(25), (44)/(49)`
C. `(22)/(25), (24)/(29), (33)/(38), (44)/(49)`
D. `(44)/(49), (22)/(25), (33)/(38), (24)/(29)`

Answer

To arrange the fractions \( \frac{44}{49}, \frac{33}{38}, \frac{22}{25}, \) and \( \frac{24}{29} \) in descending order, we will first convert each fraction into decimal form. This will allow us to easily compare their values.

### Step 1: Convert each fraction to decimal form

1. **Calculate \( \frac{44}{49} \)**:
\[ \frac{44}{49} \approx 0.897 \]

2. **Calculate \( \frac{33}{38} \)**:
\[ \frac{33}{38} \approx 0.868 \]

3. **Calculate \( \frac{22}{25} \)**:
\[ \frac{22}{25} = 0.88 \]

4. **Calculate \( \frac{24}{29} \)**:
\[ \frac{24}{29} \approx 0.827 \]

### Step 2: List the decimal values

Now we have the following decimal equivalents:
- \( \frac{44}{49} \approx 0.897 \)
- \( \frac{33}{38} \approx 0.868 \)
- \( \frac{22}{25} = 0.88 \)
- \( \frac{24}{29} \approx 0.827 \)

### Step 3: Compare the decimal values

To arrange these fractions in descending order, we will compare the decimal values:
- \( 0.897 \) (from \( \frac{44}{49} \))
- \( 0.88 \) (from \( \frac{22}{25} \))
- \( 0.868 \) (from \( \frac{33}{38} \))
- \( 0.827 \) (from \( \frac{24}{29} \))

### Step 4: Arrange in descending order

From the highest to the lowest:
1. \( \frac{44}{49} \approx 0.897 \)
2. \( \frac{22}{25} = 0.88 \)
3. \( \frac{33}{38} \approx 0.868 \)
4. \( \frac{24}{29} \approx 0.827 \)

Thus, the fractions in descending order are:
\[ \frac{44}{49}, \frac{22}{25}, \frac{33}{38}, \frac{24}{29} \]

### Final Answer
The fractions in descending order are:
\[ \frac{44}{49}, \frac{22}{25}, \frac{33}{38}, \frac{24}{29} \]

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