To evaluate the expression \( \frac{1}{2} - \left(-\frac{3}{4}\right) \), we first need to simplify it.
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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.
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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.
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Convert \( \frac{1}{2} \) to a fraction with a denominator of 4: \[ \frac{1}{2} = \frac{2}{4} \]
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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 \( 5 , \frac{1}{4} \).