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Which one of the following group is in d...

Which one of the following group is in descending order?

A

`19/21 ,16/19, 11/14`

B

`11/14,19/21,16/19`

C

`19/21,11/14,16/19`

D

`11/14,16/19,19/21`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which group of numbers is in descending order, we need to analyze the given options. Let's assume the options are as follows: 1. \( \frac{19}{21} \) 2. \( \frac{16}{19} \) 3. \( \frac{11}{19} \) 4. \( 14 \) ### Step 1: Convert the fractions to decimal form To compare these numbers easily, we can convert the fractions into decimal form. - For \( \frac{19}{21} \): \[ \frac{19}{21} \approx 0.9048 \] - For \( \frac{16}{19} \): \[ \frac{16}{19} \approx 0.8421 \] - For \( \frac{11}{19} \): \[ \frac{11}{19} \approx 0.5789 \] - For \( 14 \): \[ 14 = 14.0 \] ### Step 2: List the values in decimal form Now we have the following values: 1. \( \frac{19}{21} \approx 0.9048 \) 2. \( \frac{16}{19} \approx 0.8421 \) 3. \( \frac{11}{19} \approx 0.5789 \) 4. \( 14 = 14.0 \) ### Step 3: Compare the decimal values Now we can compare these decimal values: - \( 14.0 \) is the largest. - Next is \( 0.9048 \) (which is \( \frac{19}{21} \)). - Then \( 0.8421 \) (which is \( \frac{16}{19} \)). - Finally, \( 0.5789 \) (which is \( \frac{11}{19} \)). ### Step 4: Arrange in descending order Arranging these values in descending order gives us: 1. \( 14 \) 2. \( \frac{19}{21} \) 3. \( \frac{16}{19} \) 4. \( \frac{11}{19} \) ### Conclusion The group in descending order is: \[ 14, \frac{19}{21}, \frac{16}{19}, \frac{11}{19} \]
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