Problem: Given that 0<a<b<c<d0<a<b<c<d0<a<b<c<d, which of the following is the largest?
Answer Choices:
A. a+bc+d\dfrac{a+b}{c+d}c+da+b​
B. a+db+c\dfrac{a+d}{b+c}b+ca+d​
C. b+ca+d\dfrac{b+c}{a+d}a+db+c​
D. b+da+c\dfrac{b+d}{a+c}a+cb+d​
E. c+da+b\dfrac{c+d}{a+b}a+bc+d​
Solution:
The largest fraction is the one with largest numerator and smallest denominator. Choice (E)(E)(E) has both.