What expression has a value of 2/3?

Question

A. 8+24 divided by(12x4)

B. 8+(24 divided by 12)x4

C. (8+24) divided by(12x4)

D. 8+24 divided by 12x4

Answer 1

This problem deals with the order of operations which is.

1) Parenthesis

2) Exponents

3) Multiplication & division from left to right

4) Addition & subtraction from left to right

So we will evaluate each expression using the above rules

A. 8+24 divided by(12x4)

8+24 ÷ (12x4) The (12x4) must be done first as parenthesis operations happen before others

8+24 ÷ (48) The 12 ÷ 48 happens next. (Multiplication or division from left to right)

8+1/2 Finally, we add 8 and 1/2

8 1/2

So this is not equal to 2/3

B. 8+(24 divided by 12)x4 First we do the parenthesis (24/2)

=8+(2)x4 Next it's multiplication or division from left to right

=8+8 Finally we add 8+8

= 16 (This is not equal to 2/3)

C. (8+24) divided by(12x4) First we do the parenthesis (8+24) and (12x4)

32/48 Next we simplify the fraction by finding the greates factor that goes into the numerator and denominator. In this case, that greatest common factor is 16

= 2/3 This is the answer we are looking for.

D. 8+24 divided by 12x4 Since there are no parenthesis, we do multiplication and division from left to right

8+2x4 again.. Multiplication

8+8 Finally we can add 8+8

=16 This is not the answer we are looking for.

So C has the value of 2/3