Four Fours/1/General Solutions
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Puzzle: Four Fours: $1$
Using exactly $4$ instances of the number $4$, the task is to write an expression for $1$, using whatever arithmetical operations you consider necessary.
General Solutions
Let $\map {e_n} m$ be an expression which uses $n$ instances of $4$ to make $m$.
Then we have:
General Solution $1$
- $1 = \dfrac {\map {e_2} m} {\map {e_2} m}$
where $m \in \N$ is arbitrary.
General Solution $2$
- $1 = \dfrac {\map {e_1} m} {\map {e_3} m}$
where $m \in \N$ is arbitrary.