Reasoning in Fraction comparison
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taposh_dr
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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.
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.
