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# A room measuring 11 2/3 by 7 7/8 m

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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.

Nov 24, 2017

#1
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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  .

Nov 24, 2017

#1
+7348
+2

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  .

hectictar Nov 24, 2017