Kris N. answered 08/03/15
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If he can build 1 house in 7 days (1/7) then he can build x house in 6 days ( x/6). Set the two equal to each other ( 1/7 = x/6), cross multiply ( 7*x = 1* 6) and solve for x. 7x/7 = 6/7, x = 6/7. He can build 6/7 of a house in 6 days, which means he would still have 1/7 left to complete.