Subjects arithmetic

Number Line Fractions F7B6Bf

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1. The problem involves understanding and comparing mixed numbers and fractions on a number line. 2. The numbers given are 1, 1 \frac{5}{11}, 2, 2 \frac{9}{11}, and 3. 3. Mixed numbers like 1 \frac{5}{11} mean 1 plus \frac{5}{11}. 4. To compare these numbers, convert mixed numbers to improper fractions or decimals. 5. For example, 1 \frac{5}{11} = \frac{11}{11} + \frac{5}{11} = \frac{16}{11} \approx 1.4545. 6. Similarly, 2 \frac{9}{11} = \frac{22}{11} + \frac{9}{11} = \frac{31}{11} \approx 2.8182. 7. The blue dots mark these positions on the number line in ascending order: 1, 1 \frac{5}{11}, 2, 2 \frac{9}{11}. 8. This shows how fractions and mixed numbers are placed between whole numbers on a number line. Final answer: The positions of the numbers on the number line are correctly marked as 1, 1 \frac{5}{11}, 2, and 2 \frac{9}{11}.