Problem
of the
Week

PROBLEM 231

Let a, b, c and d be positive integers such that a/b < c/d.
Which of the following is true about (a+c)/(b+d)?

It's always less than a/b.
It's always between a/b and c/d.
It's always greater than c/d.
None of the above.

Be sure to justify your answer.

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