Identify Order of Operations: Identify the order of operations. According to the order of operations (PEMDAS/BODMAS), we first solve any expressions inside parentheses.Calculate Expression in Parentheses: Calculate the expression inside the parentheses. (2+1) = 3Rewrite Expression with Calculated Value: Rewrite the expression with the calculated value from Step 2. 6÷2(2+1) becomes 6÷2*3Perform Division Operation: Perform the division operation. According to the order of operations, we perform the division before multiplication. 6÷2 = 3Multiply Result by Value Outside Parentheses: Multiply the result from Step 4 by the value outside the parentheses. 3*3 = 9

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$6 \div 2(2+1)$

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6 \div 2(2+1)

Identify Order of Operations: Identify the order of operations. $\newline$ According to the order of operations (PEMDAS/BODMAS), we first solve any expressions inside parentheses.
Calculate Expression in Parentheses: Calculate the expression inside the parentheses. $\newline$ $(2+1) = 3$
Rewrite Expression with Calculated Value: Rewrite the expression with the calculated value from Step $2$ . $\newline$ $6\div2(2+1)$ becomes $6\div2\times3$
Perform Division Operation: Perform the division operation. $\newline$ According to the order of operations, we perform the division before multiplication. $\newline$ $6 \div 2 = 3$
Multiply Result by Value Outside Parentheses: Multiply the result from Step $4$ by the value outside the parentheses. $\newline$ $3 \times 3 = 9$