Like Fraction:
A like fraction is a fraction in which the denominators of two or more fractions are the same. For example, 1/4, 3/4, and 5/4 are like fractions because they all have a denominator of 4.

Unlike Fraction:
An unlike fraction is a fraction in which the denominators of two or more fractions are different. For example, 1/3, 1/4, and 1/5 are unlike fractions because they each have a different denominator.

Proper Fraction:
A proper fraction is a fraction where the numerator (the top number) is less than the denominator (the bottom number). For example, 1/2, 3/4, and 5/8 are all examples of proper fractions.

Improper Fraction:
An improper fraction is a fraction where the numerator is equal to or greater than the denominator. For example, 5/4, 7/3, and 11/2 are all examples of improper fractions.

Mixed Fraction:
A mixed fraction is a combination of a whole number and a proper fraction. For example, 2 1/3, 3 2/5, and 4 3/4 are all examples of mixed fractions.

Fraction Definition:
A fraction represents a part of a whole or a ratio between two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts that make up a whole.
Fractions can be like or unlike, proper or improper, and mixed, depending on the relationship between the numerator and denominator. Understanding these different types of fractions is essential for performing mathematical operations involving fractions.