You are watching: Can fractions be even or odd

We can prolong this to fractions via $$ u_2left(fracmn ight)= u_2(m)- u_2(n)$$

This satisfies the lovely relation $$ u_2(xy)= u_2(x)+ u_2(y)$$which holds also when $x,y$ room fractions.

With this device in hand, us can define a number $x$ together "odd" if $ u_2(x)=0$. The product of 2 odd numbers is odd, if the product of one odd number and a non-odd number is non-odd. Yet there is no natural an interpretation of "even" numbers. We might take $ u_2(x) eq 0$ (but then the product of two even numbers might be odd), or $ u_2(x)>0$ (but climate we require a third term because that $ u_2(x)here.

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edited Apr 13 "17 at 12:21

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answer Sep 19 "14 in ~ 15:59

vadim123vadim123

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No, odd-ness and also even-ness is defined only because that Integers.

For more info: Parity

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answer Sep 19 "14 in ~ 15:41

taninamdartaninamdar

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No. Same (whether a number is also or odd) only uses to integers.

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reply Sep 19 "14 in ~ 15:41

Scott CaldwellScott Caldwell

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**Parity walk not apply to non-integer numbers**.

A non-integer number is neither also nor odd.

Parity applies to integers and likewise functions. So i wouldn"t say that parity only uses to integers.

See more: The Main Source Of Nutrition For Vertebrate Neurons Is, Module 2 Flashcards

For instance, if $f(x)=x^n$ and also $n$ is one integer, then the parity of $n$ is the parity of the function.

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edited Sep 19 "14 in ~ 16:12

reply Sep 19 "14 in ~ 15:55

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