HCF and LCM of two fractions is 1/35 and 15/1, if one fraction is 3/5, then the second fraction is:

Question: HCF and LCM of two fractions is 1/35 and 15/1, if one fraction is 3/5, then the second fraction is:Solution:Given, HCF of two fractions = 1/35 LCM of two fractions = 15/1 One fraction = 3/5 HCF of fractions = HCF of numerators/LCM of denominators LCM of fractions = LCM of numerators/HCF of denominators LCM × HCF = Product of two fractionsLet second fraction be a/b, then a/b × 3/5 = 15/1 × 1/35 ⇒ a/b = 15/1 × 1/35 × 5/3 ∴ a/b = 5/7