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1) i) A : B = 6 : 5 B : C = 7 : 8 A : B = 6* 7 : 5 * 7 = 42 : 35 B : C = 7*5 : 8 * 5 = 35 : 40 Therefore, A : B : C = 42 : 35 : 40 ii) A : B = 2 : 3 B : C = 4 : 11 A : B = 2 * 4 : 3 * 4 = 8 : 12 B : C = 4 * 3 : 11 * 3 = 12 : 33 A : B : C = 8 : 12 : 33 iii) A : B = 1/4 : 1/5 ( LCM of 4 and 5 is 20) B : C = 1/7 : 1/6 ( LCM of 7 and 6 is 42) A : B = 5/20 : 4/20 A : B = 5 : 4 B : C = 6/42 : 7/42 B : C = 6 : 7 A : B = 5 * 6 : 4 * 6 = 30 : 24 B : C = 6 * 4 : 7 * 4 = 24 : 28 A : B : C = 30 : 24 : 28 2) A : B : C = 2 : 3 : 5 B = 21 A : B = 2/3 A = 2/3 * B = 2 * 21/3 = 14 B : C = 3 : 5 C : B = 5 : 3 C = 5/3 * B = 5 * 21/3 = 35 3) 3 A = 4 B = 6 C A/B = 4/3 B/C = 6/4 A/B = 4 * 2 / 3 * 2 = 8/6 A:B :C = 8 : 6 : 4 = 4 : 3 : 2