Show that `1. 272727. . .=1. bar 27`can be expressed in the form `p/q`, where p and q are integers and `q!=0`.

Explanation

To show that \(1.272727\ldots = 1.\overline{27}\) can be expressed in the form \(\frac{p}{q}\), where \(p\) and \(q\) are integers and \(q \neq 0\), we can follow these steps:

### Step-by-Step Solution

1. **Let \( x \) be equal to the repeating decimal:**
\[ x = 1.272727\ldots \]
...