Asha and Samuel have bookshelves of the same size partly filled with books Ashas shelf is 56th full and Samuels shelf is 25th full Whose bookshelf is more full By what fraction Mathematics cbse std 6th Factors and Multiples

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## Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6th full and Samuel’s shelf is 2/5th full. Whose bookshelf is more full? By what fraction.-Mathematics-cbse-std 6th-Factors and Multiples

It is related to factors and multiples.

By:leo

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Fraction of books in Asha’s shelf =5/6
Fraction of books in Samuel’s shelf =2/5
We compare the fractions to find whose shelf is more full.
LCM of 5 & 6 is 30
5/6
=5×5/5×6
=25/30

2/5
=2×6/5×6
=12/30
25/30>12/30
5/6>2/5

So, Asha’s shelf has more books and is more full.
5/6−2/5
=5×5/6×5−2×6/5×6
=25/30−12/30
=13/30

Asha’s shelf is more full and by =13/30

Purnima

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