Evaluate the numerical expression.
1/2 − (−3/4)
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
To evaluate the numerical expression 1/2 − (−3/4), we can find a common denominator and then subtract the fractions.
The common denominator of 2 and 4 is 4.
Now let's rewrite the expression with the common denominator:
1/2 − (−3/4) = 2/4 − (−3/4)
To subtract the fractions, we need to change the sign of the second fraction and combine them:
2/4 + 3/4 = 5/4
So, the simplified expression is 5/4.
Therefore, the correct answer is D) 5/4.
To evaluate the numerical expression 1/2 - (-3/4), we need to simplify the subtraction first.
Remember that subtracting a negative number is the same as adding its positive counterpart. Therefore, -(-3/4) is equivalent to 3/4.
Now we can rewrite the expression as 1/2 + 3/4.
To simplify the addition, we need to find a common denominator. Here, the common denominator is 4.
Converting 1/2 to have a denominator of 4, we get 2/4.
Adding 2/4 + 3/4, we have (2 + 3) / 4 = 5/4.
Therefore, the value of the expression 1/2 - (-3/4) is 5/4.
Therefore, the correct answer is option D) 5/4.
To evaluate the numerical expression 1/2 − (−3/4), we need to perform the subtraction operation.
Step 1: Simplify the subtraction of the fractions by finding a common denominator.
The denominators of 1/2 and -3/4 are already the same, which is 4.
Step 2: Subtract the numerators while keeping the common denominator.
For the numerator, we subtract 1 from -3, which gives us -4.
So, the expression becomes (1/2) - (-3/4) = (1/2) + (3/4) = 4/8 + 6/8 = (4 + 6)/8 = 10/8.
Step 3: Simplify the fraction.
To simplify the fraction 10/8, we can divide both the numerator and the denominator by their greatest common factor, which is 2.
10/8 can be reduced to 5/4.
Therefore, the numerical expression 1/2 − (−3/4) simplifies to 5/4.
So, the answer is option D) 5/4.