I'm trying come answer if every portion is a rational number. Have the right to you have an irrational number in your molecule or denominator and also still call it a fraction? for example, would pi/2 be taken into consideration a fraction? would certainly 2/square source of 2 tho be taken into consideration a fraction?


Yes, pi/square source (2) is a fraction, yet not rational. Rational calls for both numerator and also denominator should be integers.

You are watching: Every fraction is a rational number


That's a adequate condition, but not necessary. For instance, pi/(2pi) is rational yet neither molecule nor denominator is an integer or even rational.


Isn't just pi one irrational fraction already? I believed the true meaning of a fraction was simply a non-integer?


A quotient of two actual (or complex) number is thought about a fraction.

A fraction does not must be rational. Example: 1/e

To be clear, the product the a reasonable number and an irrational number is an irrational number.

Since department is just multiplication by the reciprocal as soon as working in a field, it follows that the quotient that a rational and also irrational number is likewise irrational.

However, the is not constantly the case that the product of 2 irrational number is additionally irrational. Example: sqrt(2)*sqrt(2)

It then follows as over that the quotient of two irrational number is not always irrational, as has been seen with the plenty of examples of pi/pi, e/e, etc...

Again, this is clean to see because pi/pi = pi*(1/pi) = 1


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Being spring has much more to execute with representation than the nature of a number. Because that example, 5 have the right to be composed as a fraction since 5=5/1=10/2=15/3...

Now gift rational is a property.

See more: What Does The Name Vanesa Mean Ing Of The Name Vanesa? Vanessa (Name)


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This is a good question and also helped me think about rational numbers in a new way. Say thanks to you!


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