If a b = c + d e + f so a is equal to...

migongoniwt

migongoniwt

Answered

2022-06-27

If a b = c + d e + f so a is equal to c + d?
I have these question, a is always c+d and b is e+f ?.
Thanks.

Answer & Explanation

Ryan Newman

Ryan Newman

Expert

2022-06-28Added 26 answers

NO.
Here is an counterexample.
1 2 = 1 + 2 3 + 3
Obviously 1 1 + 2 = 3, 2 3 + 3 = 6
veirarer

veirarer

Expert

2022-06-29Added 9 answers

There are plenty of easy counterexamples, of course. 1 1 = 2 + 3 2 + 3 , but 2 + 3 1. But what you suggest is true if both fractions are in reduced form - that is, if a and b are relatively prime and c + d and e + f are relatively prime.

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