Solution

The correct answer is ABCDE+*+*FGH+*/.

Key Points

• The  Reverse Polish Notation (RPN) is also referred to as a postfix notation where the operands are followed by the operators. 
• The Reverse Polish Notation (RPN) follows BODMAS mathematical notations. 
• The Reverse Polish Notation (RPN) keeps rotating until all the operators reached their destinations.
• Here the given notation is [A*{B+C*(D+E)}] / {F*(G+H)}.
• After the first shift, the notation will be [A*{B+C*DE+}] / {F*GH+}. Because according to the BODMAS rule, the degree of multiplication (*) is higher than the addition (+). So, multiplication will perform first and both the multiplication operators shift to the right of the operand.
• After the second shift the notation will be [A*{B+CDE+*}] / FGH+*.
• After the third shift the notation will be [A*{BCDE+*+}] / FGH+*.
• After the fourth shift the notation will be ABCDE+*+* / FGH+*.
• After the fifth shift the notation will be ABCDE+*+* FGH+*/. Because now only the division (/) operator is left.  So, the division operator shifts to the right of the operand.

Thus the correct answer is ABCDE+*+* FGH+*/.
Additional Information

• Reverse Polish notation (RPN), additionally called reverse Łukasiewicz notation, Polish postfix notation, is a mathematical notation wherein operators observe their operands, in the assessment of Polish notation (PN), wherein operators precede their operands. It does now no longer want any parentheses so long as every operator has a set variety of operands. The description "Polish" refers back to the nationality of truth seeker Jan Łukasiewicz who invented Polish notation in the year 1924.