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Question
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?
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Solution
Fraction of Asha’s shelf = `5/6`
Fraction of Samuel’s shelf = `2/5`
Converting these into like fractions,
`5/6 = 5/6 xx 5/5 = 25/30`
`2/5 = 2/5 xx 6/6 = 12/30`
`25/30 > 12/30`
Clearly, Asha’s bookshelf is more full.
Difference = `5/6 - 2/5 = 25/30 - 12/30 = 13/30`.
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