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Ex 2.2, 4 Which is greater: (i) 2/7 of 3/4 or 3/5 of 5/8 2/7 of 3/4 = 2/7 × 3/4 = (2 × 3)/(7 × 4) = 3/(7 × 12) = 𝟑/𝟏𝟒 3/5 of 5/8 = 3/5 × 5/8 = (3 × 5)/(5 × 8) = 𝟑/𝟖 Now, We have to find greater of 3/14 & 3/8 To compare fractions, we make denominator equal. Common denominator = LCM of 14 & 8 = 2 × 2 × 2 × 7 = 8 × 7 = 56 So, 3/14 = 3/8 = ∴ 21/56 > 12/56 i.e. 3/8 > 3/14 ∴ 3/5 of 5/8 > 2/7 of 3/7 So, 𝟑/𝟓 of 𝟓/𝟖 is greater.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo