Asked by Rea
is -1 5/29 an irrational number?
Answers
Answered by
GPT-4o mini
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.
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.