SOLUTION: A woman wants to stack two small bookcases beneath a window that is 26 1/2 inches from the floor. The larger bookvase is 14 1/2 inches tall. The othe bookcase is 8 3/4 inches tall.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A woman wants to stack two small bookcases beneath a window that is 26 1/2 inches from the floor. The larger bookvase is 14 1/2 inches tall. The othe bookcase is 8 3/4 inches tall.      Log On

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Question 549760: A woman wants to stack two small bookcases beneath a window that is 26 1/2 inches from the floor. The larger bookvase is 14 1/2 inches tall. The othe bookcase is 8 3/4 inches tall. How tall with the two bookcases be when they are stacked together?
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
We just need to add the heights of the two bookcases:
Let's first change both fractions to improper fractions:
14 1/2=%2814%2A2%2B1%29%2F2=29%2F2
8 3/4=%288%2A4%2B3%29%2F4=35%2F4
So adding these together we have:
%2829%2F2%29%2B%2835%2F4%29
We need to get a common denominator (which is 4)
%2858%2F4%29%2B%2835%2F4%29=93%2F4
We can now change this to a mixed fraction again(though improper is still correct, just depending on the question and teacher).
93/4 --- we know that 4 goes into 93 23 times.
Now 23*4=92 (so we have 1/4 left over)
So(93/4)=23 1/4
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Hopefully this helps!
Romans 5:8