18" Wheel size

I have some chrome 18" rims on my 99 Mazda 626 and Im thinking about seeing if they will fit on the 05 Mazda 6.. What I was wondering was if 225/40/18 tires would fit on the 05 Mazda 6 with no rubbing or other problems.. Thanks in advance.
 
My rear 2 wheels are shredding rubber on the outter side of the tire.. Its only happening when i rub while making a sharp turn or going over a speed bump.. Only 3 to 4 times a day since i put them on so I guess its not that bad.. I plan on buying 19's after i save up some cash and ill be sure to not put something as wide as these 18's since they are rubbing due to the width of the tire..
 
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