How to transform and unify the multiplication and division of rational numbers? Be brief. It's just casual

How to transform and unify the multiplication and division of rational numbers? Be brief. It's just casual

The rational number a must be written as P / Q, and P / Q is an integer
Division is equivalent to multiplying by its reciprocal, such as B / a = b * (1 / a) = b * (Q / P)
It's unified with multiplication