# Rational Expressions vs. Rational Numbers

The description below tells of the properties of rational numbers is very good and comprehensive. However, please describe how it relates to RATIONAL EXPRESSIONS?

A rational number is a number that can be expressed as a fraction, ratio of two integers or decimal number. Rational numbers can be ordered in a number line.

A rational number can be written in infinitely many forms, such as 3/6 = 2/4 = 1/2= a/b, but it is said to be in simplest form when a and b have no common divisors except one.

Every non-zero rational number has exactly one simplest form of this type with a positive denominator. A fraction in this simplest form is said to be an irreducible fraction or a fraction in reduced form.

The decimal expansion of a rational number is eventually periodic (in the case of a finite expansion the zeroes which implicitly follow it form the periodic part). A real number that is not a rational number is called an irrational number.

Fractions are included in the rational numbers, and the rational numbers can be used in many things for every day life situations, such as dividing a cake, giving directions (you are 4.5 miles away from a certain place).

Â© BrainMass Inc. brainmass.com March 4, 2021, 8:21 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/rational-expressions-versus-rational-numbers-162579

#### Solution Preview

Rational expressions are simply fractions that use polynomials instead of numbers. In both cases - when dividing fractions and when dividing rational expressions - dividing is the same as multiplying ...

#### Solution Summary

The expert examines rational expressions versus rational numbers. Non-zero rational numbers in the simplest form are determined.