Difference between Proper Fraction and Improper Fraction
The key difference between proper fraction and improper fraction in mathematics is that a proper fraction has a numerator that is smaller than its denominator, while an improper fraction has a numerator that is equal to or greater than its denominator.
Proper Fractions Vs Improper Fractions
In proper fractions, such as 1/4, 3/5, and 2/7, the numerator (the number above the fraction line) is smaller than the denominator (the number below the fraction line). These fractions represent a part of a whole or a value less than 1. For example, 1/4 represents one out of four equal parts.
In contrast, improper fractions, such as 5/4, 7/3, and 9/2, have a numerator that is equal to or greater than the denominator. These fractions represent a whole or a value equal to or greater than 1. For example, 5/4 represents five equal parts, where each part is larger than one whole unit.
|Characteristic||Proper Fraction||Improper Fraction|
|Numerator vs. Denominator||Numerator is smaller than denominator.||Numerator is equal to or greater than denominator.|
|Representation||Represents a part of a whole or a value less than 1.||Represents a whole or a value equal to or greater than 1.|
|Value Range||The value of the fraction is between 0 and 1.||The value of the fraction is equal to or greater than 1.|
|Examples||1/4, 3/5, 2/7.||5/4, 7/3, 9/2.|
|Additional Examples||2/9, 3/8, 1/3.||4/4 (which simplifies to 1), 8/5, 6/6.|