Question 77956
If we let a=4567890123 and b=780123456 we have a first fraction of:


{{{a/b}}}


Since the 2nd fraction has a numerator of 1 added to 4567890123 and a denominator of 2 added to 780123456 we have a 2nd fraction:


{{{(a+1)/(b+2)}}}


So lets assume these two fractions are equal (they're not, but lets place a relation between them)


{{{a/b=(a+1)/(b+2)}}}


Now cross multiply


{{{a(b+2)=b(a+1)}}}


Now distribute


{{{ab+2a=ab+b}}}


Since the left side has 2 "a" terms, the left side is larger (there are more larger terms on the left side). In other words, this is true:


{{{a/b>(a+1)/(b+2)}}}


Which means the first fraction is larger, ie


{{{4567890123/780123456>4567890124/780123458}}}