Options omitted:
A. [8 + (24 ÷ 12)] x 4
B. (8 + 24) ÷ (12 x 4)
C. 8 + (24 ÷ 12) x 4
D. 8 + 24 ÷ 12 x 4
The expression that has a value of 2/3 is B. (8 + 24) ÷ (12 x 4)
To find the expression that has the value of 2/3, we would solve each of the expressions by applying the BODMAS rule.
The BODMAS rule states that when solving a mathematical problem, operations should be carried out in the following order as the acronym suggests:
B - open bracket
O - where you have "of" change it to multiplication.
D - Divide
M - Multiply
A - Add
S - Subtract
Lets apply this rule to solve each option given and determine which of the options gives 2/3.
A. [8 + (24 ÷ 12)] x 4
Solve the operation in the first bracket
[tex][8 + (2)] \times 4\\\\10 \times4[/tex]
Multiply
40
B. (8 + 24) ÷ (12 x 4)
Solve the operations in each bracket
[tex](32)\div (48)[/tex]
Divide
[tex]\frac{32}{48} = \frac{4}{6} = \frac{2}{3}[/tex]
C. 8 + (24 ÷ 12) x 4
Solve the operation in the bracket
[tex]8 + (2) \times 4\\[/tex]
Multiply
[tex]8 + 8 = 16[/tex]
D. 8 + 24 ÷ 12 x 4
Divide
[tex]8 + 2 \times 4\\[/tex]
Multiply
8 + 8
Add
16
Therefore, the expression: B. (8 + 24) ÷ (12 x 4) has the value of 2/3
Learn more about BODMAS here:
https://brainly.com/question/24408166
