If $x, y$, and $k$ are positive and $x$ is less th... | Free GMAT Practice Question | GMAT Panda

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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. $less than \frac{x}{y} or greater than \frac{x}{y}, depending on the value of k$

Explanation	Calculations	Help
$We know that x is less than y and both are positive, so the ratio of the smaller to the larger is below one.$	$x < y \frac{x}{y} < 1$	Theory & Tactics Method Card INEQ1-A Click to view full details
$We then notice that adding the same positive amount to the numerator and denominator of a fraction below one makes the fraction larger.$	$\frac{x + k}{y + k} > \frac{x}{y}$	Theory & Tactics Method Card FDPR2-B Click to view full details

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greater than \frac{x}{y}

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. $less than \frac{x}{y} or greater than \frac{x}{y}, depending on the value of k$

Explanation	Calculations	Help
$We know that x is less than y and both are positive, so the ratio of the smaller to the larger is below one.$	$x < y \frac{x}{y} < 1$	Theory & Tactics Method Card INEQ1-A Click to view full details
$We then notice that adding the same positive amount to the numerator and denominator of a fraction below one makes the fraction larger.$	$\frac{x + k}{y + k} > \frac{x}{y}$	Theory & Tactics Method Card FDPR2-B Click to view full details

Scroll horizontally to view all columns

greater than \frac{x}{y}