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Arrange the following ratios in ascending order of magnitude: 2: 3, 17: 21, 11: 14 and 5: 7

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This is a basic question from ML aggarwal book of class 10th, chapter 7, ratio and proportion., ICSE board

In this question we have been given ratios in arbitrary manner, we have to set them in ascending order.

Question 8, chapter 7

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  1. Solution:

    It is given that

    2: 3, 17: 21, 11: 14 and 5: 7

    We can write it in fractions as

    2/3, 17/21, 11/14, 5/7

    Here the LCM of 3, 21, 14 and 7 is 42

    By converting the ratio as equivalent

    2/3 = (2 × 14)/ (3 × 14) = 28/42

    17/21 = (17 × 2)/ (21 × 2) = 34/ 42

    11/14 = (11 × 3)/ (14 × 3) = 33/42

    5/7 = (5 × 6)/ (7 × 6) = 30/42

    Now writing it in ascending order

    28/42, 30/42, 33/42, 34/42

    By further simplification

    2/3, 5/7, 11/14, 17/21

    So we get

    2: 3, 5: 7, 11: 14 and 17: 21

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