Any positive integer n can be expressed as the sum of 3n fractions: n=[{𝟏/2+𝟏/2+…….+𝟏/2(nth term)}+{𝟏/3+𝟏/4+…….+ 𝟏(𝒏+𝟐)(nth term)}+{1/6+2/8+….+n/𝟐(𝒏+𝟐)(nth term)}

Abstract We aim to build an expression for any positive integer fractional form with the help of a basic concept in mathematics. We know that any positive integer n (n > 1) can be expressed as the sum of two or more positive integers. Additionally, a positive integer n (n > 1) can be expressed as the sum of positive integers and also a positive integer n can be expressed as the sum of only fractions. However, our proposal is different: we can express the fractional form of any positive integer in an attractive manner. Through a certain identity, we fulfill this objective. For any integer n, by applying the identity, we can express it as the sum of 3n fractions.