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ICSE - X - Mathematics

sir when to use componendo dividendo property

Asked by Anubhav 6th April 2017, 8:50 PM
Answered by Expert


Componendo dividendo is a property that is generally used to simplify ratio and proportion type problems. 

Suppose we have a fractional equation as begin mathsize 16px style straight a over straight b equals straight c over straight d end style. This is clearly a proportion.

The property states that :

begin mathsize 16px style fraction numerator straight a plus straight b over denominator straight a minus straight b end fraction equals fraction numerator straight c plus straight d over denominator straight c minus straight d end fraction end style

It must always be applied on both sides of the equation to get the correct answer. 

Answered by Expert 7th April 2017, 1:03 PM

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