Asha and Samuel have bookshelves of the same size partly filled with books. Asha's shelf is 56th full and Samuel's shelf is 25th full. Whose bookshelf is more full? By what fraction?
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Solution
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A fraction of books in Asha’s shelf =56
A fraction of books in Samuel’s shelf =25
We compare the fractions to find whose shelf is more full.
LCM of 5 & 6 is 30
56=5×55×6=2530
25=2×65×6=1230
2530>1230
56>25
So, Asha’s shelf has more books and is more full.
56−25
=2530−1230
=25−1230
=1330
Asha’s shelf is more full and by 1330
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