The Harmonic series 1 + 1/2 + 1/3 + 1/4 + ... is related to rational expressions. It's a famous series that diverges, which means its sum grows without bound. It seems like the fractions get smaller and smaller and should add up to a finite number, but they just don't!

A common denominator is a common multiple of the denominators of two or more fractions

The least common denominator (LCD) is the smallest expression that can serve as a common denominator for two or more fractions, whether the denominators are numerical or algebraic

Simplifying a fraction involves reducing it to its lowest terms by dividing both the numerator and the denominator by their greatest common factor

Mathagon

Definition

Simplifying

Multiplication

Division

LCD in Algebra

Expansion

Addition

Subtraction

Introduction to Rational Expressions

Do exercises to learn how to add rational expressions.

Hint