To solve \( \frac{5}{4} + \left(-\frac{2}{4}\right) \), we can first simplify \(-\frac{2}{4}\):
\[ -\frac{2}{4} = -\frac{1}{2} \]
Now we rewrite the expression:
\[ \frac{5}{4} - \frac{1}{2} \]
To perform this addition, we need a common denominator. The least common denominator (LCD) of 4 and 2 is 4. We can convert \(-\frac{1}{2}\) to fourths:
\[ -\frac{1}{2} = -\frac{2}{4} \]
Now we can add the fractions:
\[ \frac{5}{4} - \frac{2}{4} = \frac{5 - 2}{4} = \frac{3}{4} \]
Thus,
\[ \frac{5}{4} + \left(-\frac{2}{4}\right) = \frac{3}{4} \]
The final answer is
\[ \frac{3}{4} \]
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