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# Home >> Asked Questions >> Math

Q. what is Componendo and dividendo rule?

Answer :

Componendo and dividendo is a method of simplification in mathematics.

It states that

if a/b=c/d and a!=b, then (a+b)/(a-b)=(a/b+1)/(a/b-1)=((c/d)+1)/(c/d-1)=(c+d)/(c-d)

It states that

if a/b=c/d and a!=b, then (a+b)/(a-b)=(a/b+1)/(a/b-1)=((c/d)+1)/(c/d-1)=(c+d)/(c-d)

Posted By : jon

it is theorem in which the denominator is added to the numerator & numerator is added with

negative denominator e. g.

if x/y = a/b then by componendo & dividendo we have

( x + y) /( x- y ) = ( a +b )/ ( a - b )

proof;-----------

3/2 = 6/4 then by componendo & dividendo

3+ 2/ 3- 2 = 6 +4/ 6- 4

OR 5/ 1 = 10/ 2 that is true

negative denominator e. g.

if x/y = a/b then by componendo & dividendo we have

( x + y) /( x- y ) = ( a +b )/ ( a - b )

proof;-----------

3/2 = 6/4 then by componendo & dividendo

3+ 2/ 3- 2 = 6 +4/ 6- 4

OR 5/ 1 = 10/ 2 that is true

Posted By : From Rameshwar

componendo means adding 1 to both the sides of the proportion

dividendo means subtracting 1 from both the sides of the proportion

dividendo means subtracting 1 from both the sides of the proportion

Posted By : From Nisha

it is a proportionality theorem.it is as:

a/b=c/d,then

(a+b)/(a-b)=(c+d)/(c-d)

a/b=c/d,then

(a+b)/(a-b)=(c+d)/(c-d)

Posted By : From Sps Assassin

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