Question

What is componendo and dividendo, how do we apply this in different fields of mathematics?

Answer 1

Componendo and dividendo is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed.
It is particularly useful when dealing with equations involving fractions or rational functions in mathematics ,especially when you see fractions.


Formulation:

If p:q::r:s
Then, on applying
Componendo & Dividendo, we get:
(p+q)/(p-q) = (r+s)/(r-s)