Pre-Algebra Review Workbooklet 7: Fractions

Defines what a fraction is, lists its parts: numerator, denominator and fraction line or fraction bar, and shows the relationship between a fraction and division. Defines the various types of fractions: unit fractions, simple fractions, proper fractions, improper fractions, mixed numbers and complex fractions, a visual interpretation of fraction types; explains the relationship between improper fractions and mixed numbers and how to make conversions between them. Describes five special fraction types. Fractions and division with signed numbers. Defines divisibility and prime numbers and their use in calculating the Highest Common Factor (HCF), the Greatest Common Divisor (GCD) and the Least Common Multiple (LCM). Covers the Fundamental Principle of Fractions, equivalent fractions, reducing or simplifying fractions, raising fractions to higher terms and comparing fractions. Illustrates the relative values of many common fractions and other number types on a number line. How to perform arithmetic operations on fractions, leading to applications. Finally, continued fractions are explored, demonstrating their use in approximating rational and irrational numbers. 242 problems solved in detail, with explanations. Includes a topic-specific glossary, reference and index.

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