To evaluate the expression \( \frac{1}{2} - \left(-\frac{3}{4}\right) \), we can simplify it step by step:
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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.
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To add these fractions, we need a common denominator. The denominators are 2 and 4, and the least common denominator (LCD) 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 the two fractions: \[ \frac{2}{4} + \frac{3}{4} = \frac{2 + 3}{4} = \frac{5}{4} \]
Thus, the final result of the expression \( \frac{1}{2} - \left(-\frac{3}{4}\right) \) is:
\[ \frac{5}{4} \]
The correct answer is:
D: \( \frac{5}{4} \)