What is 4−1 1/4+1/2
?
Responses
A 2 7/16
2 7 16
B 2 3/4
2 3 4
C 2 1/4
2 1 4
D 3 1/4
To solve the expression 4-1 1/4+1/2, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
First, we have the subtraction 4 - 1 1/4. To subtract a mixed number, we need to borrow from the whole number. So, we have:
- 4 1/4
- 1 1/4
---------
3 0/4
But 0/4 is equivalent to 0, so we can simplify this to just 3.
Next, we add 3 to 1/2:
3 + 1/2 = 6/2 + 1/2 = 7/2
Therefore, the expression 4-1 1/4+1/2 simplifies to 7/2, which is equal to 3 1/2.
So, the correct answer is option B) 2 3/4.