Simplifying Complex Fractions in Algebra - Tips & Techniques for Success

[@fullc0de]

You have such a gift of clear explanation!

[@krunoslavregvar477]

Very nice, illustrative, enjoyable and educational. Excellent job!

[@MathAndScience]

Thank you very much!

[@isaaclamazon6427]

Indeed, step-by-step and this is helps a lot.

[@SonuSharma-gu1rr]

I m from India and the way he is explained Owesome

[@adrianbluepythons]

Great explanation thank you. The hard problem was really helpful

[@ITmanny]

Very clear for understanding, thank prof.

[@MathAndScience]

You are welcome

[@solomonssempiira7454]

Your such a life saver

[@aerialrescuesolutions3277]

Another excellent lesson. Go Jason go...

[@MYfriendsknow]

IF MORE TEACHERS COULD TEACH AS WELL AS Jason, then the education scores of U.S. (primary & secondary) schools would be ranked #1.

[@wilkyclergeot9416]

Thank you so much incredible!!!

[@MathAndScience]

You're so welcome!

[@tresajessygeorge210]

THANK YOU... SIR...!!!

[@tacosyogan9914]

Super Teacher!

[@EcoFailure]

Better the Awesome!

[@hemrajue3434]

Sometimes complex fractions are simplified by clearing denominators. Eg. 1+1/x ÷ 1-1/x Multiply Nr. and Dr. by lcd of denominators i.e x. (1+1/x)×x ÷ (1-1/x)×x =x+1/x-1.

[@jonwill]

Jason, Why wouldn't you recommend multiplying each term by the problem's LCD to clear all the denominators. So: (a+1)(a-1) times each term for: a-1+a+1 / a-1 -1(a+1) = 2a / -2 = a /-1 = -a. Are there perils in this approach that the way you demonstrate avoids? Is this a case of more work is better relative to accuracy?

[@STEMFA]

Good father

[@eikoGoldstein]

well done! Be sure to emphasize the definition of the word "term" and identify them as much as possible. Thanks!

[@MathAndScience]

Noted!

[@FurkanBilgekaganErtugrul-1037]

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[@HeavenlyPress]

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[@MYfriendsknow]

[@benives5101]

@20:08 why does the x when flipped (as we have been taught to do when changing from division to multiplication), not become x/1? It seems like the x hasn't been flipped - x/1 and 1/x are not the same value - correct? Could you please explain sir?

[@benives5101]

I assume its because the x previous to, "flipping" is actually x/1 - so it is flipped indeed to become 1/x ! sorry just answered my own question!

[@georgeh1352]

@@benives5101 Correct, any number / symbol can be viewed as ?/1, when flipped x 1/?