No, \(-1 \frac{5}{29}\) is not an irrational number. It is a mixed number that can be expressed as an improper fraction.
To convert it to an improper fraction: \[ -1 \frac{5}{29} = -\left(1 + \frac{5}{29}\right) = -\left(\frac{29}{29} + \frac{5}{29}\right) = -\frac{34}{29} \]
Since \(-\frac{34}{29}\) is a ratio of two integers, it is a rational number. Therefore, \(-1 \frac{5}{29}\) is a rational number, not an irrational one.