What is the difference between a simple "fraction" and a "common fraction"? I have read about a com

manierato5h

manierato5h

Answered question

2022-06-21

What is the difference between a simple "fraction" and a "common fraction"?
I have read about a common fraction in this statement (written in a text book):
Ratio is the simplest form of a common fraction, in which the numerator denotes the antecedent and the denominator denotes the consequent.
The Wordweb dictionary defines a common fraction as
The quotient (defined as "The ratio of two quantities to be divided" / "The number obtained by division") of two integers.
From this definition, a common fraction pretty much seems to be just the same as a fraction. So what is the difference?

Answer & Explanation

Trey Ross

Trey Ross

Beginner2022-06-22Added 30 answers

Though I doubt there is any authoritative definition, I've always taken common fraction to mean a ratio of two integers, whereas a fraction is a ratio of any two things. For example
1 2 , 17 2 4 , 12 24 ,
are common fractions, whereas
π 2 6 , 1 2 , x 2 + 3 x 3 1 ,
are fractions, but not common fractions.

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