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?
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Step-by-step explanation:
A fraction of books in Asha’s shelf =5/6
A 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
6
5
=
5×6
5×5
=
30
25
5
2
=
5×6
2×6
=
30
12
30
25
>
30
12
6
5
>
5
2
So, Asha’s shelf has more books and is more full.
6
5
−
5
2
=
6×5
5×5
−
5×6
2×6
=
30
25
−
30
12
=
30
13
Asha’s shelf is more full and by =
30
13
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