Question

9. Which ratio is larger in the following pairs ?
(i) 3:4 or 9:16
(ii) 15 : 16 or 24 : 25
(iv) 9: 20 or 8:13
U 1:2 or 13:27
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Answer 1

Answer:

option 2

Step-by-step explanation:

ii 15:16 or 24:25

Answer 2

Answer:

(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 (iii) Given 4: 7 or 5: 8 LCM for 7 and 8 is 56 4: 7 can be written as = 4/7 4/7 × (8/8) = 32/56 And we have 5/8 5/8 × (7/7) = 35/56 Clearly 35 > 32 Therefore 4: 7 < 5: 8 (iv) Given 9: 20 or 8: 13 LCM for 20 and 13 is 260 9: 20 can be written as = 9/20 9/20 × (13/13) = 117/260 And we have 8/13 8/13 × (20/20) = 160/260 Clearly 160 > 117 Therefore 9: 20 < 8: 13 (v) Given 1: 2 or 13: 27 LCM for 2 and 27 is 54 1: 2 can be written as = 1/2 1/2 × (27/27) = 27/54 And we have 13/27 13/27 × (2/2) = 26/54 Clearly 27 > 26 Therefore 1: 2 > 13: 27Read more on Sarthaks.com - https://www.sarthaks.com/684861/which-ratio-is-larger-in-the-following-pairs-i-3-4-or-9-16-ii-15-16-or-24-25?show=684862#a684862