AMC 10 Step by Step
2016 AMC 10AProblem 4P1-10~2 minPrint

The remainder can be defined for all real numbers xx and yy with y0y \neq 0 by rem(x,y)=xyxy\text{rem} (x ,y)=x-y\left \lfloor \frac{x}{y} \right \rfloor where xy\left \lfloor \dfrac{x}{y} \right \rfloor denotes the greatest integer less than or equal to xy\dfrac{x}{y} . What is the value of rem(38,25)\text{rem}\left(\dfrac{3}{8}, -\dfrac{2}{5}\right) ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.