If x, y, and k are positive and x is less than y, then x+k/y+k is

greater than x/y We know that x is less than y and both are positive, so the ratio of the smaller to the larger is below one. x x/y

GMAT Fractions: X, y, and k are positive and x is less

If x, y, and k are positive and x is less than y, then \frac{x + k}{y + k} is

A. $1$
B. $greater than \frac{x}{y}$
C. $equal to \frac{x}{y}$
D. $less than \frac{x}{y}$
E. $less than \frac{x}{y} or greater than \frac{x}{y}, depending on the value of k$

inequalitiesfractions

Explanation	Calculations	Help
$We know that x is less than y and both are positive, so the ratio of the smaller to the larger is below one.$	$x < y \frac{x}{y} < 1$
$We then notice that adding the same positive amount to the numerator and denominator of a fraction below one makes the fraction larger.$	$\frac{x + k}{y + k} > \frac{x}{y}$

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greater than \frac{x}{y}