Which of the following fractions is largest 1/2, 13/42, 21/43, 4/123, 14/23 ?

Which of the following fractions is the largest of 1/2,  13/42,  21/43,  4/123, 14/23?
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1 Answer

The simplest fraction is 1/2, and 1 is half of 2. So we ask: which of the other fractions has a top which is more than half the bottom? The only one is 14/23, because 14 is bigger than half of 23, so 14/23 is bigger than 1/2, so 14/23 must be the largest fraction.

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