Asha and Samuel have book selves of the same size partly filled with books. Asha's shelf is 5/6 full and Samuel's shelf is 4/5 full. Whose bookshelf is more full? By which fraction?
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7th
Maths
Fractions and Decimals
Recalling Basics of Fractions
Asha and Samuel have booksh...
MATHS
Asha and Samuel have bookshelves of the same size partly find with books. Asha's shelf is
6
5
th full and Samuel's shelf is
5
2
th full. Whose bookshelf is more full? By what fraction?
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ANSWER
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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