\begin{tabular}{l} Is \( -\frac{41}{83} \) rational or irrational? \\ Select Choice \\ \hline\end{tabular}
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The Deep Dive
To determine if \( -\frac{41}{83} \) is rational or irrational, one must know that rational numbers can be expressed in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Since both \(-41\) and \(83\) are integers, and \(83\) is not zero, \( -\frac{41}{83} \) is indeed a rational number. Rational numbers can be represented as fractions, but they can also be expressed as terminating or repeating decimals. For example, if you convert \(-\frac{41}{83}\) into decimal form, you'll get a repeating decimal that starts off as approximately \(-0.4937\ldots\). This shows yet another view of how rational numbers behave!