6:2(1+2)=

To solve the expression \( 6:2(1+2) \), we follow the order of operations (often remembered by the acronym PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Parentheses/Brackets: Calculate the expression inside the parentheses: \[ 1 + 2 = 3 \] Now the expression becomes: \[ 6:2(3) \]

2. Multiplication/Division: Now we interpret \( 6:2(3) \) as \( 6 \div 2 \times 3 \). According to the order of operations, we handle the division and multiplication from left to right: \[ 6 \div 2 = 3 \] Now we have: \[ 3 \times 3 = 9 \]

Thus, the solution to \( 6:2(1+2) \) is \( 9 \).