Is a number divided by $0$ an improper fraction?

698 Views Asked by At

Improper fraction is a fraction with numerator greater or equal than the denominator.

But what about $0$ denominator?

For example, are the following fractions improper?

$$ \frac{0}{0},\frac{2}{0},\frac{5}{0}$$

3

There are 3 best solutions below

0
On BEST ANSWER

To be an improper fraction, a number must be a real number.

Division by zero is undefined and does not give a real number.

0
On

From here, an improper fraction is always greater than $1$ (and hence they are all defined fractions).

You list fractions that are undefined. In which case, they cannot be classified as improper.

0
On

Improper fractions are also $\mathbf{real}$ $\mathbf{numbers}$. Division by zero yields an undefined value which is not a real number! Thus, u cant deem a number divided by zero to be an improper fraction.