Solve 4:2×(5+4+6): Order of Operations Challenge

$4:2\times(5+4+6)=$

Let's simplify this expression while following the order of operations which states that exponents come before multiplication and division, which come before addition and subtraction, and that parentheses come before all of them,

therefore we'll start by simplifying the expressions in parentheses first:
$4:2\cdot(5+4+6)= \\ 4:2\cdot15$Note that between multiplication and division operations there is no defined precedence for either operation, so we'll calculate the result of the expression obtained in the last stage step by step from left to right (which is the regular order in arithmetic operations), meaning we'll first perform the division operation, as it appears first from the left, and then we'll perform the multiplication operation that comes after it:

$4:2\cdot15 =\\ 2\cdot15 =\\ 30$Therefore the correct answer is answer B.