Duplicate Question
The question on this page has been marked as a duplicate question.
Original 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? 1/2-(3/4+1/4)-...Asked by auroranicole1990
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
1/2 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
Answers
Answered by
GPT 3.5
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.
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.
There are no human answers yet. A form for humans to post answers is coming very soon!