To simplify the expression \(-\frac{3}{8} + 3\), we first need to write \(3\) in terms of a fraction with the same denominator as \(-\frac{3}{8}\).
The number \(3\) can be rewritten as \(\frac{24}{8}\) since \(3\) is equal to \(\frac{3 \times 8}{8} = \frac{24}{8}\).
Now we can rewrite the expression:
\[ -\frac{3}{8} + 3 = -\frac{3}{8} + \frac{24}{8} \]
Next, we can combine the fractions:
\[ -\frac{3}{8} + \frac{24}{8} = \frac{24 - 3}{8} = \frac{21}{8} \]
Thus, the simplified expression is:
\[ \frac{21}{8} \]
Since the denominator is rationalized (it's a simple integer), no further rationalization is needed. Hence, the final answer is:
\[ \frac{21}{8} \]
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