CONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x x —— + —— 5 4

Key Concepts

Fraction Addition

To add fractions, they must have a common denominator. The least common denominator (LCD) is the smallest multiple that both denominators share. Once the fractions are expressed with the LCD, their numerators can be added together while keeping the denominator the same. The result should then be simplified to its lowest terms.

Simplifying Fractions

Simplifying a fraction involves reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1. This is done by dividing both the numerator and denominator by their greatest common divisor (GCD). A simplified fraction is easier to interpret and is often required in mathematical expressions.

Algebraic Expressions

Algebraic expressions consist of numbers, variables, and operations. In the context of the given question, '2x' represents a variable term that can be manipulated algebraically. Understanding how to combine like terms and perform operations on these expressions is crucial for solving problems involving fractions and algebra.