The reverse Polish notation of the following infix expression [A*{B+C*(D+E)}]…

Method:

1. Evaluate the innermost parentheses first: D+E becomes DE+.

2. Multiply C by the result: C*(D+E) becomes CDE+*.

3. Add B to that result: B + (C*(D+E)) becomes BCDE+*+.

4. Multiply A by that sum: A * (B + C*(D+E)) becomes ABCDE+*+*.

5. For the denominator, add G and H: G+H becomes GH+.

6. Multiply F by that sum: F*(G+H) becomes FGH+*.

Finally, divide the numerator postfix by the denominator postfix by concatenation with the division operator:

Numerator: ABCDE+*+*

Denominator: FGH+*

Postfix (reverse Polish notation): ABCDE+*+*FGH+*/