# What is 6 divided by 0?

Jul 12, 2016

The value of expression with $0$ in the denominator is undefined.

#### Explanation:

This expression has no value defined.

To prove that there is no such value let's assume that $\frac{6}{0} = x$ for some real $x$.

If we multiplied such equality by $0$ we would get:

$6 = 0 \times x$

But this is not possible, because any real number multiplied by $0$ is $0$

So our assumption that $\frac{6}{0}$ has a real value led us to contradiction, which means that the assumption is false i.e. Expression $\frac{6}{0}$ has no defined value.