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.
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?
@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?
![Complex Fractions [fbt] (Simplifying Complex Fractions)](http://i.ytimg.com/vi/SZQfuZVhhfk/mqdefault.jpg)
You have such a gift of clear explanation!
Very nice, illustrative, enjoyable and educational. Excellent job!
Thank you very much!
Indeed, step-by-step and this is helps a lot.
I m from India and the way he is explained Owesome
Very clear for understanding, thank prof.
You are welcome
Great explanation thank you. The hard problem was really helpful
Another excellent lesson. Go Jason go...
Thank you so much incredible!!!
You're so welcome!
THANK YOU... SIR...!!!
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.
Your such a life saver
Super Teacher!
IF MORE TEACHERS COULD TEACH AS WELL AS Jason, then the education scores of U.S. (primary & secondary) schools would be ranked #1.
well done! Be sure to emphasize the definition of the word "term" and identify them as much as possible. Thanks!
Noted!
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?
Better the Awesome!
Hello sir, when will the AC circuits Vol 7 and more about that topic will be released?
Good father
Yesssssss
@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?
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!
@@benives5101 Correct, any number / symbol can be viewed as ?/1, when flipped x 1/?