So
30 40 + 2 * 5 6 + /
means
( 30 + 40 ) * 2 / ( 5 + 6 )
The operands are pushed to stack and operations typically operate on the top two elements, replacing them with the result. Compilers have to convert conventional infix notation to RPN or something similar get clear on the order of execution. Internally the JVM works with an RPN-like stack model and RPN-like stack operators.
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