Problem 39 - Introductory and Intermediate Algebra for College Students 4th

Question

Give an example of a rational number that is not an integer.

Step-by-Step Solution

Answer

An example of a rational number that is not an integer is \( \frac{3}{2} \)

Step 1: Understanding the difference between rational numbers and integers

Rational numbers are numbers that can be expressed as a fraction using integers, where the denominator is not zero. Integers, on the other hand, are whole numbers, including zero, and their opposites (negative numbers). Integers can be thought of as fractions where the denominator is one.

Step 2: Finding a rational number that is not an integer

To find a rational number that is not an integer, simply think of a fraction where the denominator is not one. Also, avoid fractions that can be simplified to an integer, such as \( \frac{2}{2} \) or \( \frac{6}{3} \)

Step 3: Providing an example

An example of a rational number that is not an integer would be \( \frac{3}{2} \)