What is a proper fraction?

A proper fraction is defined as a fraction in which the numerator is less than the denominator. This signifies that the value of the fraction is less than one. For example, in the fraction 3/4, the numerator (3) is indeed smaller than the denominator (4), confirming that it is a proper fraction.

This concept is important in understanding the different types of fractions. Proper fractions are fundamental in fractions because they show values that are part of a whole. On the other hand, if the numerator were to equal the denominator, the fraction would be classified as a whole number (1), and if the numerator were larger, it would be considered an improper fraction, which denotes values greater than one. Understanding the characteristics that define a proper fraction is crucial in various mathematical contexts, including arithmetic operations involving fractions and understanding their properties relative to other types of fractions.