The correct statement about the number \( \frac{1}{6} \) is:
It's a rational number but not a whole number.
Here's the reasoning:
- \( \frac{1}{6} \) is a rational number because it can be expressed as the fraction of two integers (1 and 6).
- It is not a whole number because whole numbers are non-negative integers (0, 1, 2, 3, ...), and \( \frac{1}{6} \) is less than 1.
The other statements are not correct:
- It is a real number since all rational numbers are also real numbers.
- It is not an integer, as integers are whole numbers (including negative numbers).
- It cannot be classified as an irrational number, as irrational numbers cannot be expressed as fractions of integers.