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.
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
1 answer
1 answer