Exercise 1.2
The Question
Translate the following into prefix form:
\[ \frac{5 + 4 + (2 - (3 - (6 + \frac{4}{5}))}{3(6 - 2)(2 - 7)} \]
The Answer
We can translate this by recursively grouping values by the outermost common operation. This means we start with the fraction, and divide the numerator and denominator. Then we add for the numerator and multiply for the denominator and so on and so forth. Going through with this exercise, we finally come up with:
(/ (+ 5 4 (- 2 (- 3 (+ 6 4/5)))) (* 3 (- 6 2) (- 2 7)))-37/150