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

Explanation

To determine the property that \( q \) must satisfy for the rational number \( \frac{p}{q} \) to have a terminating decimal representation, we can follow these steps:

### Step 1: Understand Terminating Decimals
A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, \( 0.5 \) and \( 0.75 \) are terminating decimals.

### Step 2: Identify Rational Numbers
Rational numbers can be expressed in the form \( \frac{p}{q} \), where \( p \) and \( q \) are integers, and \( q \neq 0 \).

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