Q.1
Which of the following ratios is larger? (with solution)
(i) 3:4 or 9: 16
(ii) 15:16 or 24:25
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Step-by-step explanation:
(i) Given 3: 4 or 9: 16
LCM for 4 and 16 is 16
3: 4 can be written as = 3/4
3/4 × (4/4) = 12/16
And we have 9/16 Clearly 12 > 9
Therefore 3: 4 > 9: 16
(ii) Given 15: 16 or 24: 25
LCM for 16 and 25 is 400
15: 16 can be written as = 15/16 15/16 × (25/25) = 375/400
And we have 24/25 24/25 × (16/16) = 384/400 Clearly 384 > 375 Therefore 15: 16 < 24: 25
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