# SOLUTION: Of the following, which is less than 1/4 ? A. 2/5 B. 4/7 C. 4/11 D. 5/11 E. 6/25

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: Of the following, which is less than 1/4 ? A. 2/5 B. 4/7 C. 4/11 D. 5/11 E. 6/25       Log On

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 Question 324309: Of the following, which is less than 1/4 ? A. 2/5 B. 4/7 C. 4/11 D. 5/11 E. 6/25 Answer by vleith(2825)   (Show Source): You can put this solution on YOUR website!The algebraic way to do this is to put each potential solution over a common denominator with 1/4 2/5 = 8/20 1/4 = 5/20 so 2.5 is > 1/4 4/7 = 16/28 1/4 = 7/28 so 4/7 is > 1/4 and so on 6/25 = 24/100 1/4 = 25/100 so 6/25 is < 1/4 Another way to solve this is to use number sense 2/5 is > 2/6 which is 1/3. which is > 1/4. So 2/5 is > as well 4/7 is > 4/8 which is 1/2. again too big 4/11 is > 4/12 which is 1/3. again too big 5/11 is just less than 5/10 or 1/2. again too big 6/25 is just less than 6/24 oe 1/4. so 6/25 is the only choice that works