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Fractions

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Junior | Next Rank: 30 Posts
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by ornelaspedro » Tue Aug 04, 2009 7:59 am
The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.

a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6

D
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by truplayer256 » Tue Aug 04, 2009 8:57 am
x= Number of shelves on the first floor

y= Number of books per shelf on the first floor

2/3(x)= Number of shelves on the second floor

5/6(y)= Number of books per shelf on the second floor

Total number of books on the first and second floor= xy+5xy/9=14xy/9

Fraction of books on the first floor= xy/(14xy/9)=xy*9/14xy=9/14 D
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Re: Fractions

by chetanojha » Fri Aug 07, 2009 3:23 am
ornelaspedro wrote:The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.

a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6

D
Since you are asked ratio it doesn't matter what no. you substitute.
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