MathDB

The remainder can be defined for all real numbers

x

and

y

with

y \neq 0

\text{rem} (x ,y)=x-y\left \lfloor \frac{x}{y} \right \rfloor

where

\left \lfloor \tfrac{x}{y} \right \rfloor

denotes the greatest integer less than or equal to

\tfrac{x}{y}

. What is the value of

\text{rem} (\tfrac{3}{8}, -\tfrac{2}{5} )

<span class='latex-bold'>(A) </span> -\frac{3}{8} \qquad <span class='latex-bold'>(B) </span> -\frac{1}{40} \qquad <span class='latex-bold'>(C) </span> 0 \qquad <span class='latex-bold'>(D) </span> \frac{3}{8} \qquad <span class='latex-bold'>(E) </span> \frac{31}{40}

Problem Statement