If xne1 and xne0 then (1-1/x)/(x-1) is equivalent to

Answer 1

To simplify the expression \((1 - \frac{1}{x}) / (x - 1)\), we can start by rewriting the numerator:

\[ 1 - \frac{1}{x} = \frac{x - 1}{x} \]

Now, substitute this back into the original expression:

\[ \frac{\frac{x - 1}{x}}{x - 1} \]

We can simplify this by noting that \(\frac{x - 1}{x} \) is being divided by \(x - 1\):

\[ \frac{x - 1}{x} \div (x - 1) \]

To divide fractions, we multiply by the reciprocal of the divisor. So, we get:

\[ \frac{x - 1}{x} \cdot \frac{1}{x - 1} \]

The \((x - 1)\) terms will cancel each other out:

\[ \frac{1}{x} \]

So, the simplified expression for \((1 - \frac{1}{x}) / (x - 1)\) is:

\[ \frac{1}{x} \]