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Arrange the following fractions in ascending order:-A. 11/17 < 41/63 < 3/7 < 21/29B. 41/63 < 3/7 < 21/29 < 11/17C. 3/7 < 11/17 < 41/63 < 21/29D. 3/7 < 11/17 < 21/29 < 41/631. C2. A3. D4. B |
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Answer» Correct Answer - Option 1 : C Given: 11/17, 41/63, 3/7, 21/29 Concept used: If we make the denominator of all fractions equals then the greater numerator will greater fraction and vice versa. Calculation: For the equal denominator, LCM of denominators = 31059 11/17 = (11 × 1827)/(17 × 1827) = 20097/31059 41/63 = (41 × 493)/63 × 493) = 20213/31059 3/7 = (3 × 4437)/(7 × 4437) = 13311/31059 21/29 = (21 × 1071)/(29 × 1071) = 22491/31059 clearly we can see that, 3/7 < 11/17 < 41/63 < 21/29 ∴ 3/7 < 11/17 < 41/63 < 21/29. |
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