Superparticular ratio

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers. More particularly, the ratio takes the form:

          n
          +
          1
        
        n
      
    
    =
    1
    +
    
      
        1
        n
      
    
  

{\displaystyle {\frac {n+1}{n}}=1+{\frac {1}{n}}}

where n is a positive integer. Thus:

A superparticular number is when a great number contains a lesser number, to which it is compared, and at the same time one part of it.

Extends: [Rational numbers](https://wikipedia.org.ai/Rational numbers), [Superparticular intervals](https://wikipedia.org.ai/Superparticular intervals)