SOLUTION: Carter was on a diet. When he weighed himself at the start of his diet he weighed 220 pounds. At the end of six months,Carter weighed 180 pounds what fraction of his original weigh

Question 897754: Carter was on a diet. When he weighed himself at the start of his diet he weighed 220 pounds. At the end of six months,Carter weighed 180 pounds what fraction of his original weight did he lose?
A. 1/8
B. 4/13
C. 3/16
D. 2/11
Please tell me how you got the answer, I want to understand how to do this problem. Thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
He lost 220 - 180 = 40 pounds

Divide this by the original weight he starts with (220) to get 40/220

With all fractions, it's a good idea to reduce. So let's do so:

40/220 = (4*10)/(22*10)

40/220 = 4/22

40/220 = (2*2)/(2*11)

40/220 = 2/11

He lost 2/11 of his original weight.

So if you multiplied 2/11 by 220, you should get 40.

(2/11)*220 = (2*220)/11 = 440/11 = 40

and we do, so that confirms the answer of 2/11
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