fraction simplication, resolution with one variable I'm having some problems to understand a simpli

Brooke Webb

Brooke Webb

Answered question

2022-05-28

fraction simplication, resolution with one variable
I'm having some problems to understand a simplification and I know the correct answer but I'd like to understand why my method is wrong or what rule I'm breaking.
I have an equation like the following:
F r ( 1 S r + 1 S p ) = F t S p
Where the variable I'm looking for is F r. My tendency was to do:
F r = F t S p ( S r + S p )
But it seems to be wrong, I should have do:
F t ( S p + S r S r S p ) = F t S p
and then:
F t = S r S p F t S p + S r
Why I can not simply pass & inverse the fraction to the other side? Thanks so much!!

Answer & Explanation

mnaonavl

mnaonavl

Beginner2022-05-29Added 7 answers

Because
1 a + 1 b 1 a + b
This is already the case for a = b = 1, where one the left side you get 2 and on the right side you get 1 2 .

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?