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