Answer: The correct option is
(C) (12+6)÷(3+3)
Step-by-step explanation: We are given to select the expression that has a value of 3.
Option (A) : The given expression is E = 12+(6÷3+3).
The value of the expression is
[tex]E\\\\=12+(6\div3+3)\\\\=12+(\dfrac{6}{3}+3)\\\\=12+(2+3)\\\\=12+5\\\\=17\neq 3.[/tex]
So, this option is not correct.
Option (B) : The given expression is E = 12+6÷(3+3).
The value of the expression is
[tex]E\\\\=12+6\div(3+3)\\\\=12+6\div6\\\\=12+\dfrac{6}{6}\\\\=12+1\\\\=13\neq 3.[/tex]
So, this option is not correct.
Option (C) : The given expression is E = (12+6)÷(3+3).
The value of the expression is
[tex]E\\\\=(12+6)\div(3+3)\\\\=18\div6\\\\=\dfrac{18}{6}\\\\=3.[/tex]
So, this option is correct.
Option (D) : The given expression is E = (12+6)÷3+3.
The value of the expression is
[tex]E\\\\=(12+6)\div3+3\\\\=18\div3+3\\\\=\dfrac{18}{3}+3\\\\=6+3\\\\=9\neq 3.[/tex]
So, this option is not correct.
Thus, option (C) is CORRECT.
