A fraction is a quotient of integers, with the numerator divided by the denominator in mathematics.

We’ll assume n, p, q, and Z throughout this essay (the set of integers) q 0 q 0 q 0 q 0 q

A simple fraction is made up of two integers p/q; for example, 1/4, 6/3, and -3/8 are simple fractions.

A suitable fraction consists of two integers p/q with p q, such as 2/3.

An improper fraction is formed by combining two integers p/q with p q, such as 3/2 and 4/4.

A mixed fraction, also known as a mixed number, is the product of a (non-zero) integer n and a proper fraction in the form n + p/q, such as 1 1/2.

We can deduce from the definitions above that

When p=0, a simple fraction can be positive, neutral, or negative. It can also be proper or improper.