Q. 45.0( 1 Vote )

From a fraction, a new fraction is formed by adding the same natural number to both the numerator and the denominator.

i) In what kind of fractions does this give a larger fraction?

ii) In what kind of fractions does this give a smaller fraction?

Answer :

Let the fraction be


Now, fraction obtained by adding a natural number n to both numerator and denominator =


i) when b>a


Proof:


a(b + n) < (a + n)b


ab + an < ab + bn


an < bn


a < b


ii) when b<a


Proof:


a(b + n) > (a + n)b


ab + an > ab + bn


an > bn


a > b


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :