Question

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

Answer 1

To find the value of the expression 1/2 3/4 (11+5)+1/4, we can simplify it step by step.

First, let's simplify the expression inside the parentheses: 11 + 5 = 16.

Next, let's multiply 3/4 by 16: 3/4 * 16 = 3 * 4/4 * 4 = 12/4 = 3.

Now, let's add 1/2 and 3: 1/2 + 3 = 1/2 + 6/2 = 7/2.

Finally, let's add 7/2 and 1/4: 7/2 + 1/4 = 14/4 + 1/4 = 15/4.

So the value of the original expression is 15/4.

Let's check the options to see which one has the same value:
A. 1/2 -(3/4+ 1/4)-16 = 1/2 - 1 - 16 = 1/2 - 17/2 = (1 - 17)/2 = -16/2 = -8 --> NOT the same value.

B. (1/2+1/4)- 33/4+5 = 3/4 - 33/4 + 5 = -30/4 + 5 = -15/2 + 5 = -5/2 --> NOT the same value.

C. 1/2-3/4-16-1/4 = 1/2 - 3/4 - 16 - 1/4 = 1/2 - 4/4 - 16 - 1/4 = 1/2 - 1 - 16 - 1/4 = (1 - 1 - 32 - 1/4)/2 = -33/4 / 2 = -33/8 --> NOT the same value.

D. (1/2+1/4)-12 = 3/4 - 12 = - 45/4 + 12 = -45/4 + 48/4 = 3/4 --> NOT the same value.

None of the options have the same value as the original expression.

Therefore, the answer is none of the above.