Fraction rules A/B/C vs B/C/A I have all my fraction rules written down, but these two confuse me... A/(B/C) (AC)/(B) and (B/C)/(A) B/(CA) These do not give the same answers, and I am wondering what the rules are for using them? Are A>B>C and B>C>A the two conditions?

Cory Russell

Cory Russell

Answered question

2022-10-21

Fraction rules A/B/C vs B/C/A
I have all my fraction rules written down, but these two confuse me...
A B C A C B
and
B C A B C A
These do not give the same answers, and I am wondering what the rules are for using them? Are
A > B > C
and
B > C > A
the two conditions?

Answer & Explanation

Adenomacu

Adenomacu

Beginner2022-10-22Added 13 answers

You may have been confused by the implied parentheses in the size of the fraction bars. Your first rule is
A ( B C ) = A C B
which you can establish by multiplying the fraction by C C . You have written the second the same way on the left,
B ( C A ) = B C A
which is incorrect. I suspect you meant to write
( B C ) A = B C A
which is correct and can be established by multiplying by C C . The only clue in what you wrote is the size of the fraction bars and your top one is the largest in both cases.

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