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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?

8. Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is \frac{5}{6}th  full and Samuel’s shelf is  \frac{2}{5}th full. Whose bookshelf is more full? By what fraction?

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If we compare the bookshelves of both, we obtain that :

                         \frac{5}{6}\ >\ \frac{2}{5}

Also,               \frac{5}{6}\ -\ \frac{2}{5}\ =\ \frac{25-12}{30}\ =\ \frac{13}{30}

Hence the bookshelf of Asha is more full and by \frac{13}{30} fraction.  

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