Solving Fractional Equations

This detailed page explains the fundamental concepts of how to solve equations with fractions through multiple worked examples. The content focuses on systematic approaches to solving equations containing fractions and algebraic terms.

Definition: Fractional equations are algebraic equations that contain fractions with variables in either the numerator or denominator.

Example: One key example shown is solving 5(x+2) = 7(2x-7), which demonstrates the process of expanding brackets and collecting like terms.

Highlight: A crucial step in solving fractional equations is multiplying all terms by the denominator to eliminate fractions.

Vocabulary: Key terms introduced include:

• Expanding: The process of multiplying terms in brackets
• Substitution: Checking the answer by putting the solution back into the original equation

The page includes several detailed examples showing different scenarios:

1. Equations with single fractions
2. Equations with multiple fractions
3. Equations requiring expansion of brackets
4. Problems involving checking solutions through substitution

Quote: "Multiply by the denominator" is emphasized as a key step in the solving process.

The worked solutions demonstrate a clear progression from simpler to more complex problems, ensuring students can follow the logical steps required for solving fractional equations.