Consider mathematical operations in a language like $C++,$ which supports both overloading and coercion. In many cases, it may make sense to provide multiple, overloaded versions of a function, one for each numeric type or combination of types. In other cases, we might use a single versionprobably defined for double$-$precision floating point arguments $-$ and rely on coercion to allow that function to be used for other numeric types $($e$.$g$.,$ integers$).$ Give an example in which overloading is clearly the preferable approach. Give another in which coercion is almost certainly better.

In a language that supports operator overloading, build support for rational numbers. Each number should be represented internally as a $($numerator$,$ denominator$)$ pair in simplest form, with a positive denominator. Your