Ex 7.6, 8 - Asha and Samuel have bookshelves of the same size partly

Ex 7.6, 8 - Chapter 7 Class 6 Fractions - Part 2
Ex 7.6, 8 - Chapter 7 Class 6 Fractions - Part 3

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Ex 7.6 ,8 Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction? Asha’s shelf full = 5/6 Samuel’s shelf full = 2/5 We need to find whose bookshelf is more full Thus, we need of find greater of 5/6 & 2/5 Since denominator is different, we make denominator same. Common denominator = LCM of 5 & 6 = 2 × 3 × 5 = 6 × 5 = 30 Thus, 5/6 2/5 Thus, 25/30 > 12/30 ∴ 5/6 > 2/5 So, Asha’s shelf is more full than Samuel’s We also need to find Fraction by which bookshelf is more full Now, Fraction by which bookshelf is more full = 5/6 − 2/5 = 25/30 − 12/30 = (25 − 12)/30 = 13/30 ∴ Asha’s bookshelf is more full by 𝟏𝟑/𝟑𝟎

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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