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Suppose that $a$ is less than $b$ , $c$ is less than $d$.

What is the relation between $\dfrac{a}{b}$ and $\dfrac{a+c}{b+d}$? Is $\dfrac{a}{b}$ less than, greater than or equal to $\dfrac{a+c}{b+d}$?

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    Any possibility can occur. Take $a=1$ and $b=2$. Then consider $c=1, d=2$ (equality); $c=1, d=3$ (greater than ); and $c=4,d=5$ (less than).2011-12-16

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