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Question
Arrange the following ratios in ascending order of magnitude: 2 : 3, 17 : 21, 11 : 14 and 5 : 7
Solution
Writing the given ratios in fraction
`(2)/(3), (17)/(21), (11)/(14), (5)/(7)`
LCM of 3, 21, 14, 7 = 42
Converting the given ratio as equivalent
`(2)/(3) = (2 xx 14)/(3 xx 14) = (28)/(42) ; (17)/(21) = (17 xx 2)/(21 xx 2) = (34)/(42)`
`(11)/(14) = (11 xx 3)/(14 xx 3) = (33)/(42) ; (5)/(7) = (5 xx 6)/(7 xx 6) = (30)/(42)`
From above, writing in asecnding order,
`(28)/(42), (30)/(42), (33)/(42), (34)/(42)`
or
`(2)/(3), (5)/(7), (11)/(14), (17)/(21)`
or
2 : 3 ; 5 : 7 ; 11 : 14 and 17 : 21.
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