Yes, fractional numbers are real numbers.
Here's why:
- Real Numbers: Real numbers encompass all rational and irrational numbers.
- Rational Numbers: Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.
- Fractions as Rational Numbers: By definition, fractions are a ratio between two numbers, typically expressed as a/b, where 'a' and 'b' are integers and 'b' is not zero. This matches the definition of a rational number.
- Conclusion: Since all rational numbers are real numbers, and fractions are rational numbers, then all fractions are real numbers.
In essence, a fraction simply represents a part of a whole, and because it can be expressed as a ratio between two integers, it falls squarely within the realm of real numbers.
