2. Which of the following lists three fractions in ascending order? (A) \( \frac{9}{26}, \frac{1}{4}, \frac{3}{10} \) (B) \( \frac{9}{26}, \frac{3}{10}, \frac{1}{4} \) (C) \( \frac{1}{4}, \frac{9}{26}, \frac{3}{10} \) (D) \( \frac{1}{4}, \frac{3}{10}, \frac{9}{26} \) (E) \( \frac{3}{10}, \frac{9}{26}, \frac{1}{4} \)
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To determine which list presents the fractions in ascending order, we can convert each fraction to a decimal: 1. \( \frac{1}{4} = 0.25 \) 2. \( \frac{3}{10} = 0.3 \) 3. \( \frac{9}{26} \approx 0.346 \) (when calculated, it's about 0.346153846) Now we can order these decimals: - \( 0.25 \) (which is \( \frac{1}{4} \)) - \( 0.3 \) (which is \( \frac{3}{10} \)) - \( 0.346 \) (which is \( \frac{9}{26} \)) Therefore, the correct ascending order is \( \frac{1}{4}, \frac{3}{10}, \frac{9}{26} \). The answer is **(D)** \( \frac{1}{4}, \frac{3}{10}, \frac{9}{26} \).