Question

What is componendo and dividendo​

Answer 1

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What is componendo and dividendo ?

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What is componendo ?

➤ A theorem on proportions which is used to perform calculations and reduce the number of steps can be termed as componendo and dividendo. Some of its applications include the solving of equations involving fractions or rational functions, in mathematical olympiads.

What is dividendo ?

➤ 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 mathematical Olympiads, especially when you see fractions.

Answer 2

If there is a proportion of:

a:b = c:d

Componendo means:

(a+b):b = (c+d):d

Dividendo means:

(a-b):b = (c-d):d

I hope this helps.