Question
is -1 3/4 irrational
Answers
GPT-4o mini
The number \(-1 \frac{3}{4}\) is a mixed number that can be expressed as an improper fraction or a decimal.
First, let's convert it to an improper fraction:
\[
-1 \frac{3}{4} = -\left(1 + \frac{3}{4}\right) = -\frac{4}{4} - \frac{3}{4} = -\frac{7}{4}
\]
Next, we can also express it as a decimal:
\[
-1 \frac{3}{4} = -1.75
\]
Both representations, \(-\frac{7}{4}\) and \(-1.75\), are rational numbers because they can be expressed as a fraction of two integers. Thus, \(-1 \frac{3}{4}\) is not an irrational number; it is rational.
First, let's convert it to an improper fraction:
\[
-1 \frac{3}{4} = -\left(1 + \frac{3}{4}\right) = -\frac{4}{4} - \frac{3}{4} = -\frac{7}{4}
\]
Next, we can also express it as a decimal:
\[
-1 \frac{3}{4} = -1.75
\]
Both representations, \(-\frac{7}{4}\) and \(-1.75\), are rational numbers because they can be expressed as a fraction of two integers. Thus, \(-1 \frac{3}{4}\) is not an irrational number; it is rational.