SOLUTION: a room measuring 11 2/3m by 7 7/8m is to be tiled with square tiles of maximum size so that the tiles fit the dimensions of the room exactly. How many tiles are required?

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Question 1102698: a room measuring 11 2/3m by 7 7/8m is to be tiled with square tiles of maximum size so that the tiles fit the dimensions of the room exactly. How many tiles are required?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the two numbers (dimensions) with the common denominator, which is 3*8 = 24:


112%2F3 m = %2833%2B2%29%2F3 m = 35%2F3 m = 280%2F24 m;


77%2F8 = %2856%2B7%29%2F8 = 63%2F8 = 189%2F24 m.


So, use the square tiles of 1%2F24 m size.


You will need 280*189 = 52920 such tiles.