A room measuring 11 2/3 by 7 7/8 m is to be tiled with square tiles of maximum size so that the tiles for the dimensions of the room exactly.
+9481 11 2/3 = 35/3 = 280/24
7 7/8 = 63/8 = 189/24
The GCF of 280 and 189 is 7 , so....
We can divide the side that is 280/24 m long into 40 equal parts, each 7/24 m long.
We can divide the side that is 189/24 m long into 27 equal parts, each 7/24 m long.
So the maximum size of a square tile that will fit the room exactly is 7/24 m by 7/24 m .
+9481 11 2/3 = 35/3 = 280/24
7 7/8 = 63/8 = 189/24
The GCF of 280 and 189 is 7 , so....
We can divide the side that is 280/24 m long into 40 equal parts, each 7/24 m long.
We can divide the side that is 189/24 m long into 27 equal parts, each 7/24 m long.
So the maximum size of a square tile that will fit the room exactly is 7/24 m by 7/24 m .
