Asha and Samuel have book shelves of the same size partly filled with books. Asha's shelf is 5/6 the full and Samuel's shelf is 2/5th full. Whose book shelf is more full by what fraction?

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Solution

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

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