Show that 0.142857142857…..`=1/7`.

Explanation

To show that \( 0.142857142857\ldots = \frac{1}{7} \), we can follow these steps:

### Step 1: Define the repeating decimal
Let \( x = 0.142857142857\ldots \). This notation indicates that the digits "142857" repeat indefinitely.

### Step 2: Multiply by a power of 10
Since the repeating part has 6 digits, we multiply \( x \) by \( 10^6 \) (which is 1,000,000):
\[
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