Types of Fractions
2026-02-28 23:33 Diff
https://brightchamps.com/en-us/math/numbers/types-of-fractions

There are different kinds of fractions, and the type depends on the relationship between the numerator and the denominator. The values of the numerator and denominator can also determine the type of fraction. Let’s see the different types of fractions here: 

  Proper Fraction: When the numerator of the fraction is less than the denominator, then it is called a proper fraction. For example, \(\frac{6}{15} \), \(\frac{5}{12} \), \(\frac{9}{17} \), etc. 

Improper Fraction: In improper fractions, the numerator is greater than the denominator, for example, \(\frac{8}{5} \), \(\frac{9}{7} \), etc. 

Mixed Fraction: The fraction with a mix of a whole number and a proper fraction is the mixed fraction. It can be represented as \(6 \tfrac{5}{7} \), where 6 is the whole number and \(\frac{5}{7} \) is the proper fraction. For example, \(1 \tfrac{5}{9} \), \(3 \tfrac{2}{7} \), \(3 \tfrac{4}{9} \), etc. 

Like Fractions: If the denominators of two or more fractions are the same, then they are called like fractions. For example, \(\frac{1}{5} \), \(\frac{2}{5} \), \(\frac{3}{5} \), \(\frac{4}{5} \), \(\frac{5}{5} \). 

Unlike Fraction: If the fractions have different denominators, then they are called unlike fractions, such as \(\frac{1}{3} \), \(\frac{5}{6} \), \(\frac{5}{9} \).

Equivalent Fractions: Two or more fractions with different numbers but the same value when simplified are called equivalent fractions. For example, \(\frac{2}{6} \), \(\frac{3}{9} \), and \(\frac{4}{12} \) are all different fractions, but they can be simplified to ⅓.

Unit Fraction: Unit fractions are fractions whose numerator is always 1. Example: \(\frac{1}{2} \), \(\frac{1}{6} \), and \(\frac{1}{9} \).