Question

What is 4−1 1/4+1/2\
A.2 7/16
B. 2 3/4
C.2 1/4
D 3 1/4

Answer 1

wrong

Answer 2

To solve this problem, we need to follow the order of operations, which dictates that we perform any addition or subtraction before multiplication or division.

First, we simplify 4 - 1 1/4:
Since 1/4 can be written as 0.25, we have:
4 - 1 - 0.25

Next, we add 1/2 to the previous result:
4 - 1 - 0.25 + 0.5

Now, we solve from left to right:
4 - 1 = 3

3 - 0.25 + 0.5 = 2.75

Therefore, the answer is B. 2 3/4.

Answer 3

I apologize for the mistake. Let's solve the problem correctly.

To solve 4 - 1 1/4 + 1/2, we need to convert the mixed numbers to improper fractions.

4 can be written as 4/1.
1 1/4 can be written as (1 * 4 + 1)/4 = 5/4.

Now we can substitute these fractions into the expression:

4/1 - 5/4 + 1/2

To simplify this expression, we need to find a common denominator for the fractions. In this case, the common denominator is 4.

Multiplying the numerator and denominator of 4/1 by 4, we get 16/4.

So, the expression becomes:

16/4 - 5/4 + 1/2

Now we can subtract the fractions:

16/4 - 5/4 = (16 - 5)/4 = 11/4

Adding 11/4 and 1/2, we need to find a common denominator again. This time, it is 4.

Multiplying the numerator and denominator of 1/2 by 2, we get 2/4.

So, the expression becomes:

11/4 + 2/4

Now we can add the fractions:

11/4 + 2/4 = 13/4

To write this improper fraction as a mixed number, we divide the numerator (13) by the denominator (4):

13 ÷ 4 = 3 with a remainder of 1.

Therefore, the answer is:

3 1/4

So, the correct answer is D. 3 1/4.