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The fractions 44/49,33/38,22/25 and 24/2...

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

A

`22/25, 24/29, 33/38, 44/49`

B

`44/49, 22/25, 33/38, 24/29`

C

`44/49, 33/38, 24/29, 22/25`

D

`24/29, 33/38, 22/25, 44/49`

Text Solution

AI Generated Solution

The correct Answer is:
To arrange the fractions \( \frac{44}{49}, \frac{33}{38}, \frac{22}{25}, \frac{24}{29} \) in descending order, we will convert each fraction to its decimal form. Here are the steps: ### Step 1: Convert each fraction to decimal form 1. **Calculate \( \frac{44}{49} \)**: \[ \frac{44}{49} \approx 0.8979 \] 2. **Calculate \( \frac{33}{38} \)**: \[ \frac{33}{38} \approx 0.8684 \] 3. **Calculate \( \frac{22}{25} \)**: \[ \frac{22}{25} = 0.88 \] 4. **Calculate \( \frac{24}{29} \)**: \[ \frac{24}{29} \approx 0.8276 \] ### Step 2: List the decimal values Now we have the decimal values: - \( \frac{44}{49} \approx 0.8979 \) - \( \frac{33}{38} \approx 0.8684 \) - \( \frac{22}{25} = 0.88 \) - \( \frac{24}{29} \approx 0.8276 \) ### Step 3: Arrange the decimal values in descending order From the calculations, we can arrange the fractions based on their decimal values: 1. \( \frac{44}{49} \approx 0.8979 \) (largest) 2. \( \frac{22}{25} = 0.88 \) 3. \( \frac{33}{38} \approx 0.8684 \) 4. \( \frac{24}{29} \approx 0.8276 \) (smallest) ### Step 4: Write the fractions in descending order 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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