4. If $m, n$, and $p$ are three different natural numbers, each between 2 and 9 , what then are all the possible integer value(s) of the expression, $\frac{m+n+p}{m+n}$ ?
4. $\frac{m+n+p}{m+n}=1+\frac{p}{m+n}$, but $p$ must be a multiple of $m+n$ for the entire fraction to be an integer.
The only possibility with $m, n, p$ between 2 and 9 is that $p=n+m$, as if $p=2(n+m)$, so $p$ must be at least 10 and that contradicts the given values.
So, for all those values the fraction $\frac{p}{m+n}=1$
Hence the only entire value of $\frac{m+n+p}{m+n}=2$.