Is a fraction number may be negative or not? We know that A fraction represents a part of a whole or, more generally, any number of equal parts. So fraction can not be negative.$\frac12$ and $\frac{-1}{2}$ both are fraction number or not?
 A: You can extend your "naive" or "intuitive" notion of a fraction to include fractions that are zero or negative as well.
A negative fraction could indicate the absence removal of the indicated quantity.
For example, adding $-1/2$ of a pizza would mean removing $1/2$ of that pizza.
So, yes, fractions can be negative.
A: What is to be said here that you are thinking in a different way.To explain your thinking see this.
Let we have two parts,the whole part is represented by $1$ and you are going to take away $\frac12$ away from it.So remaining=$1-\frac12=1+(-\frac12)$.Thus we can see fraction can be negative.
Also,going by definition fraction is a rational number and it can be both positive and negative.
A: You are using term "fraction" in rather intuitive terms, and in mathematics we want to first make everything we speak about precise, so that we can give a definite yes/no answer.
In this case, a precise notion of fraction generally used in mathematics is the notion of rational number, which is a number of a form $\frac{n}{m}$, where $n,m$ are integers and $m$ is not $0$. Since integers include negative numbers, it is possible for a rational number to be negative, for example, $\frac{-1}{2}=-\frac{1}{2}$.
