Brain fam! which expression has the value of 2/3 a. [8 + (24 ÷ 12)] x 4 b. (8 + 24) ÷ (12 x 4) c. 8 + (24 ÷ 12) x 4 d. 8 + 24 ÷ 12 x 4 !

B.(8 + 24) ÷ (12 x 4)

Step-by-step explanation:

We are going to solve simplify all the option to get the value of each option.

But to solve this expression, we need to be conversant with BODMAS rule

B stands for bracket

O stands for order

D stands for division

M stands for multiplication

A stands for addition

S stands for Subtraction

What the BODMAS rule is simply  saying is that when you have an expression that involves any of the; bracket, powers, division, multiplication ,addition and subtraction, the first thing to do is to solve what is in the bracket, then  you can now work on the powers (if there is any) and then you move to the division (if there is any) and then you multiply and finally you add or subtract.

Haven gotten the above explanation, lets solve for option A

[8 + (24 ÷ 12)] x 4

[8 + (2)] x 4

10 x 4

40

Option A is not the answer

Lets move to option B

(8 + 24) ÷ (12 x 4)

32     ÷  48

32/48 can be reduced to become 2/3  

(16 can divide 32 to give us 2 and 16 can divide 48 to give us 3)

Option B gives  2/3. Option B is the answer

Lets check for option C

8 + (24 ÷ 12) x 4

8 + 2 x 4

8 + 8

16

Option C is not the answer

Lets check option D

8 + 24 ÷ 12 x 4

8 + 2 x 4

8+8

16

Option D is not the answer

Therefore option B is the only answer that will give us 2/3

450 is the final answer! : )

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step-by-step explanation: