Understand what a fraction is in mathematics, a way of representing a part of a whole or a division of quantities using a numerator and denominator.

A fraction represents a part of a whole or a ratio between two numbers. It consists of two numbers separated by a horizontal or diagonal line. The number above the line is called the numerator, and the number below the line is called the denominator.

Fractions can be classified into different types based on their numerical values and characteristics. The main types include:

Proper fractions are those where the numerator is smaller than the denominator. For example, 1/3 is a proper fraction.

Improper fractions have a numerator that is equal to or greater than the denominator. For instance, 5/3 is an improper fraction.

Mixed numbers combine a whole number and a fraction, represented as a whole number with a fraction. For example, 2 1/4 is a mixed number.

Operations such as addition, subtraction, multiplication, and division can be performed on fractions following specific rules. These operations involve manipulating the numerators and denominators to achieve the desired result while keeping the fraction in its simplest form.

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