Question
69. Which part contains the fractions in ascending order ? \( \begin{array}{llll}\text { (a) } \frac{11}{14}, \frac{16}{19}, \frac{19}{21} 3 & \text { (b) } \frac{16}{19}, \frac{11}{14}, \frac{19}{21} 3 & \text { (c) } \frac{16}{19}, \frac{19}{21}, \frac{11}{14} & \text { (d) } \frac{19}{21}, \frac{11}{14}, \frac{16}{19}\end{array} \)
Ask by Peters Salinas. in India
Oct 25,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct answer is (a) \( \frac{11}{14}, \frac{16}{19}, \frac{19}{21} \).
Solution
To determine which part contains the fractions in ascending order, we need to compare the fractions \( \frac{11}{14}, \frac{16}{19}, \) and \( \frac{19}{21} \).
We can compare these fractions by converting them to a common denominator or by converting them to decimal form.
1. **Convert to decimal form:**
- \( \frac{11}{14} \approx 0.7857 \)
- \( \frac{16}{19} \approx 0.8421 \)
- \( \frac{19}{21} \approx 0.9048 \)
Now we can see the approximate decimal values:
- \( \frac{11}{14} \approx 0.7857 \)
- \( \frac{16}{19} \approx 0.8421 \)
- \( \frac{19}{21} \approx 0.9048 \)
2. **Order the fractions based on their decimal values:**
- \( \frac{11}{14} < \frac{16}{19} < \frac{19}{21} \)
Thus, the fractions in ascending order are:
- \( \frac{11}{14}, \frac{16}{19}, \frac{19}{21} \)
Now, we can check the options:
- (a) \( \frac{11}{14}, \frac{16}{19}, \frac{19}{21} \) - **Correct**
- (b) \( \frac{16}{19}, \frac{11}{14}, \frac{19}{21} \) - Incorrect
- (c) \( \frac{16}{19}, \frac{19}{21}, \frac{11}{14} \) - Incorrect
- (d) \( \frac{19}{21}, \frac{11}{14}, \frac{16}{19} \) - Incorrect
The correct answer is **(a)** \( \frac{11}{14}, \frac{16}{19}, \frac{19}{21} \).
Reviewed and approved by the UpStudy tutoring team
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