Look at several examples of rational numbers in the form `p/q(q!=0)`, where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Explanation

To determine the property that the denominator \( q \) must satisfy for a rational number \( \frac{p}{q} \) (where \( p \) and \( q \) are integers with no common factors other than 1) to have a terminating decimal representation, we can follow these steps:

### Step-by-Step Solution

1. **Understanding Rational Numbers**: A rational number can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).

2. **Identifying Terminating Decimals**: A decimal representation is said to be terminating if it ends after a finite number of digits. For example, \( 0.6 \), \( 0.75 \), and \( 1.5 \) are terminating decimals.

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