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Comparing fractions

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Comparing fractions [#permalink] New post 06 Jan 2010, 20:32
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Just want to point out something that I discovered today while studying PS. In questions that ask you to compare fractions, the trick is often not to compare them directly via converting all the fractions to have a common denominator. For example, when you are asked to find the biggest and smallest # in

\(\frac{5}{9}\), \(\frac{5}{12}\), \(\frac{23}{48}\), \(\frac{11}{24}\), \(\frac{3}{7}\)

the trick is to recognize that these numbers are all close to \(\frac{1}{2}\), so you just have to find the difference between the numbers and \(\frac{1}{2}\).

\(\frac{5}{9}\) is > than 0.5, biggest #

\(\frac{5}{12}\): distance is \(\frac{1}{12}\)

\(\frac{23}{48}\): distance is \(\frac{1}{48}\)

\(\frac{11}{24}\): distance is \(\frac{1}{24}\)

\(\frac{3}{7}\): distance is \(\frac{1}{14}\)

since \(\frac{1}{12}\) is the largest number, \(\frac{5}{12}\) is the smallest #.

Hope this is helpful for others to recognize this pattern.
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Re: Comparing fractions [#permalink] New post 01 Feb 2010, 09:42
Great logic!! But not sure if this is useful in all problems. I'll definitely start using it and will let you know my experience in few days.

Thanks for sharing!! :)
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Re: Comparing fractions [#permalink] New post 16 Nov 2015, 17:48
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Re: Comparing fractions   [#permalink] 16 Nov 2015, 17:48
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