No, \(-4 \frac{3}{7}\) is not an irrational number. It is a mixed number, which can be expressed as a fraction.
To clarify:
- Irrational numbers cannot be expressed as a fraction of two integers. Examples include numbers like \(\sqrt{2}\) and \(\pi\).
- Rational numbers, on the other hand, can be expressed as a fraction of two integers.
You can convert \(-4 \frac{3}{7}\) to an improper fraction. It can be written as:
\[ -4 \frac{3}{7} = -\left(4 \times 7 + 3\right)/7 = -\frac{28 + 3}{7} = -\frac{31}{7} \]
Since \(-\frac{31}{7}\) is a fraction of two integers, \(-4 \frac{3}{7}\) is a rational number.