If a/b=c/d, then a/b=(a+c)/(b+d) mathematical proof (quicker version)

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If a/b=c/d, then a/b=(a+c)/(b+d) mathematical proof (quicker version)

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****Apologies for the shakiness at the end of the video; sometimes my hand just gets tired. I have to film these clips by myself. I hope it doesn't affect the usefulness of this video.

Video created by Tiago Hands:

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Комментарии
Автор

Mr. Tiago Hands: Thank you so very much for making this video. I have been struggling with how to resolve this math question for many days. When I looked over my own calculations this afternoon, I realized that I was about to get it right (after viewing your video yesterday of a similar math video). But I was unable to think clearly factoring ab + bc to b x (a + c) and I gave up. You are a wonderful math teacher.

jameschan
Автор

a/b = c/d =>
a/b ± c/b = c/d ± c/b =>
(a ± c)/b = (bc ± cd)/bd
(a ± c) = c(b ± d)/d
(a ± c)/(b ± d) = c/d = a/b
:D
U're probably thinking: why the hell is this guy commenting on a video from 7 years ago??! I answer: idk

eduardohenrique
Автор

hi, if a/b<c/d, is it true that a/b<a+c/b+d<c/d?
btw is there a name for the theorem you proved in this video? thanks

zlz