# Improper fraction

Do the improper fractions include, "the fraction whose numerator is greater than or equal its denominator" or "the fraction whose numerator is greater only than the denominator"?

• If they are equal, then the fraction equals one, so I don't think there is much use for calling it a fraction anymore. – Guacho Perez Dec 19 '16 at 7:24
• It means whatever the person using it says it means. If the person using it doesn't say what it means, then it is anyone's guess. Does it really matter? – Gerry Myerson Dec 19 '16 at 7:29
• I do understand what you are saying, bu I am asking about the definition, mainly. – Mahmoud Elneweshy Dec 21 '16 at 11:35
• What do you mean by "the definition"? Different people may use the term to mean different things. The purpose of a definition is to make it clear to everyone what terms mean. So, if you use the term, make it clear what you mean. End of problem. – Gerry Myerson Dec 22 '16 at 19:00

It should be stated at the beginning of your paper, whether you consider $\frac{a}{a}$ as an improper fraction od not. Point it out and continue with the convention you have just set on your work.