Express each of the following ratios in simplest form : (i) 20 : 35 (ii) 95 : 57 (iii) 2.1 : 1.2 (iv) (v) 6a : 9b (vi) 8ab2 : 6a2b

Question

KnowledgeBoat · Accepted Answer

(i) 20 : 35 The given ratio is 20 : 35. Let us find H.C.F. of 20 and 35: H.C.F. = 5 Hence, the answer is 4 : 7 (ii) 95 : 57 The given ratio is 95 : 57. Let us find H.C.F. of 95 and 57: H.C.F. = 19 Hence, the answer is 5 : 3 (iii) 2.1 : 1.2 First, multiply both by 10 to remove decimals: (2.1 x 10 : 1.2 x 10) = 21 : 12 Let us find H.C.F. of 21 and 12: H.C.F. = 3 Hence, the answer is 7 : 4 (iv) Convert mixed fractions to improper fractions: Let us find L.C.M. of 4 and 2: L.C.M. = 2 x 2 = 4 Multiply both terms by 4 to convert fractions to whole number: Let us find H.C.F of 13 and 26: H.C.F = 13 = 1 : 2 Hence, the answer is 1 : 2 (v) 6a : 9b Given ratio is 6a : 9b Let us find H.C.F. of 6 and 9: H.C.F. = 3 Hence, the answer is 2a : 3b (vi) 8ab2 : 6a2b Find the common factors in the coefficients and variables: Let us find H.C.F. of 8 and 6: H.C.F. = 2 Common variables: ab. Divide both terms by 2ab: Hence, the answer is 4b : 3a

Mathematics

Express each of the following ratios in simplest form : (i) 20 : 35 (ii) 95 : 57 (iii) 2.1 : 1.2 (iv) (v) 6a : 9b (vi) 8ab2 : 6a2b

Ratio Proportion

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