Question

Evaluate the numerical expression.


1/2− (−3/4

)
Responses
A

1 3
B

1 4
C

3 2
D

5 4
E

Answer 1

To evaluate the expression \( \frac{1}{2} - \left(-\frac{3}{4}\right) \), we first need to simplify it.

1. The expression can be rewritten as:
\[
\frac{1}{2} + \frac{3}{4}
\]
because subtracting a negative number is the same as adding the positive number.

2. To add the two fractions \( \frac{1}{2} \) and \( \frac{3}{4} \), we need a common denominator. The least common denominator for 2 and 4 is 4.

3. Convert \( \frac{1}{2} \) to a fraction with a denominator of 4:
\[
\frac{1}{2} = \frac{2}{4}
\]

4. Now we can add:
\[
\frac{2}{4} + \frac{3}{4} = \frac{2 + 3}{4} = \frac{5}{4}
\]

So, the answer is \( \frac{5}{4} \), which can also be expressed as \( 1 \frac{1}{4} \).

Thus, the correct response to the expression \( \frac{1}{2} - (-\frac{3}{4}) \) is:

**D \( 5 \, \frac{1}{4} \)**.