Ratio And Proportion
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A:B = 1/4:1/5 = 1/4×20 : 1/5×20 (multiplying both ratios by LCM of 4,5)
∴ A:B = 5:4
similarly,
B:C = 1/7:1/6 = 1/7×42 : 1/6×42 (multiplying both ratios by LCM of 7,6)
∴ B:C = 6:7
now take LCM of 4,6 both values of B
∴ A:B = 5×3: 4×3 = 15/12
B:C = 6×2 : 7×2 = 12/14
∴ A:B:C = 15: 12: 14