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Reasoning in Fraction comparison

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by djkvakin » Fri Feb 26, 2010 2:53 pm
1-(1/160) is greater because 1/160 is smaller than 1/120.
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by taposh_dr » Sun Feb 28, 2010 8:24 am
Correct !

Also, think about it this way

1- (1/160) = 159/160

and

1-(1/120) = 119/120

Now,

1. 119/120 is less than 1
2. If we add 40 to both numerator and denominator of 119/120 we get

(119 + 40) / (120 +40) = 159/160.


As a general rule, if a fraction is less than 1 and if we add the same positive number to the numerator and denominator. The value of the fraction increases, as its going closer to 1.

So, 159/160 is greater than 119/120.


Also, note : if the fraction compare was 120/119 vs 160/159,
120/119 would be greater.
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