find the greatest ratio of the following 1 : 6 , 3: 8 (ii) 9: 16: 5 : 12

Answer

(i) 3:8 (ii) 9 : 16

Explanation

` 1/6 " 3/8 `
LCM of 6 and 8 is 24
` 1/6 xx 24 : 3/8 xx 24 `
` 4: 9 = 1/6 lt 3/8`
` 3 : 8` is greater.
(ii) `9/16 : 5/12`
LCM of 26, 12 is 48
` 9/ 16 xx 48 : 5/12 xx 48 = 27 : 20`
` 9 /16 lt 5 /12 `
9 : 16 is greater. ]