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Updated on: 18 Feb 2019, 05:54
Originally posted by farukhawais on 12 Jun 2010, 02:57.
Last edited by Bunuel on 18 Feb 2019, 05:54, edited 1 time in total.
Last edited by Bunuel on 18 Feb 2019, 05:54, edited 1 time in total.
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If we are given a few fractions like:
Q1) 6/7 , 7/8 , 9/10 , 12/13 , 34/35
Q2) 3/8 , 5/7 , 7/8 , 9/12
And we are asked to find the smallest or the largest of the given fractions then what is the best, fool proof and above all the quickest strategy to solve such questions?
LINK TO PRACTICE QUESTIONS
Q1) 6/7 , 7/8 , 9/10 , 12/13 , 34/35
Q2) 3/8 , 5/7 , 7/8 , 9/12
And we are asked to find the smallest or the largest of the given fractions then what is the best, fool proof and above all the quickest strategy to solve such questions?
LINK TO PRACTICE QUESTIONS
12 Jun 2010, 05:13
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Question 1 - See the pattern -> difference between the numerator and denominator is 1 in all the options. So go with the option with largest integers (like 1/2 is always smaller than 2/3). Clearly the last option
Question 2 - Here the difference between numerator and denominator is not equal in all options
Use this method -> cross multiply the options. Lets take 3/8 on left side and 5/7 on right side (3/8 = 5/7). This will give 21 on left side 40 on right side (21 = 40). Option with greater number will always be greater, so in this case 5/7 is greater than 3/8. You can check all option this way.
I dont think GMAT ever gives large fractions without common difference between numerator and denominator.
Both the methods are full proof and can never go wrong.
Hope this helps
Question 2 - Here the difference between numerator and denominator is not equal in all options
Use this method -> cross multiply the options. Lets take 3/8 on left side and 5/7 on right side (3/8 = 5/7). This will give 21 on left side 40 on right side (21 = 40). Option with greater number will always be greater, so in this case 5/7 is greater than 3/8. You can check all option this way.
I dont think GMAT ever gives large fractions without common difference between numerator and denominator.
Both the methods are full proof and can never go wrong.
Hope this helps
12 Jun 2010, 11:33
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Fully agree w/ Q1
My "strategy" for Q2 would be the following:
Q2) 3/8 , 5/7 , 7/8 , 9/12
1) Looking for "obvious" differences: e.g., > vs. < 0.5 in this case the only fraction <0.5 is 3/8 (3/8<4/8) - so we figured out our smallest fraction
2) Looking for options to "easy cancel out" 9/12 is similar to 6/8 - 6/8 is def. smaller than 7/8
3) Final check between 5/7 vs. 7/8 by cross multiplication (if needed)
Only step 3 requires "real" calculation
My "strategy" for Q2 would be the following:
Q2) 3/8 , 5/7 , 7/8 , 9/12
1) Looking for "obvious" differences: e.g., > vs. < 0.5 in this case the only fraction <0.5 is 3/8 (3/8<4/8) - so we figured out our smallest fraction
2) Looking for options to "easy cancel out" 9/12 is similar to 6/8 - 6/8 is def. smaller than 7/8
3) Final check between 5/7 vs. 7/8 by cross multiplication (if needed)
Only step 3 requires "real" calculation
