What is the difference between a proper fraction and an improper fraction?

The correct answer highlights an essential distinction in the definition of fractions. A proper fraction is defined as a fraction where the numerator (the top number) is less than the denominator (the bottom number). This means that a proper fraction always represents a value that is less than one. For instance, 3/4 is a proper fraction because 3 is less than 4.

On the other hand, an improper fraction is characterized by having a numerator that is equal to or greater than the denominator. This results in values that are one or greater. For example, 5/4 is an improper fraction because 5 is greater than 4.

Understanding this difference is fundamental in mathematics, especially when performing operations with fractions, as it influences how fractions can be added, subtracted, or converted to mixed numbers. This framework of proper and improper fractions is crucial for solving many mathematical problems involving rational numbers.

The other choices suggest misconceptions about the nature of proper and improper fractions, which do not accurately convey their definitions or properties.