Margaret needs to find the value of the expression below.
1/2 3?4 (11+5)+1/4
Which expression has the same value?
A. 1/2 -(3/4+ 1/4)-16
B.(1/2+1/4)- 33/4+5
C. 1/2-3/4-16-1/4
D.(1/2+1/4)-12
To find the value of the expression, let's simplify it step by step:
1/2 = 0.5
3/4 = 0.75
11+5 = 16
Now let's substitute these values back into the original expression:
0.5 * 0.75 * 16 + 1/4
Multiplying the decimals:
0.5 * 0.75 = 0.375
0.375 * 16 = 6
Adding the fraction:
6 + 1/4
Finding a common denominator for the fraction:
6 + 1/4 = 6 + 0.25 = 6.25
So the value of the expression is 6.25.
Let's check the answer choices:
A. 1/2 - (3/4 + 1/4) - 16 = 0.5 - 1 - 16 = -16.5
B. (1/2 + 1/4) - 33/4 + 5 = 0.75 - 8.25 + 5 = -2.5
C. 1/2 - 3/4 - 16 - 1/4 = 0.5 - 0.75 - 16 - 0.25 = -16.5
D. (1/2 + 1/4) - 12 = 0.75 - 12 = -11.25
None of the answer choices have the same value as the original expression (which was 6.25).