Question
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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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