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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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## Answers

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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