Algebraic Fractions (Elementary Math Algebra)

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Chapter 7: Algebraic Fractions

In Chapter 7, we focus on Algebraic Fractions, which are fractions that involve algebraic expressions in the numerator and denominator. Mastering operations with algebraic fractions is a crucial skill in algebra, as it allows you to simplify complex expressions and solve a variety of problems.

What You'll Learn:

Multiplication and Division of Algebraic Fractions: Learn how to multiply and divide algebraic fractions. You'll understand the process of canceling common factors and simplifying the fractions before performing the operation. This section will cover the key steps for multiplying and dividing fractions with variables in both the numerator and denominator.

Addition and Subtraction of Algebraic Fractions: Discover how to add and subtract algebraic fractions, including those with different denominators. You'll learn how to find a common denominator, combine the fractions, and simplify the result. This section also covers how to simplify the expression after the operation.

Simplifying Algebraic Fractions: Understand how to simplify algebraic fractions by factoring both the numerator and denominator, and canceling out common factors to make the expressions as simple as possible.

By the end of this chapter, you'll have a solid understanding of how to manipulate algebraic fractions with ease, whether multiplying, dividing, adding, or subtracting them. The chapter includes step-by-step examples and plenty of practice problems to help you gain confidence in solving algebraic fraction problems.

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Par autoru

Lee Jun Cai is the founder of AcesMath!, an educational centre that coaches students to excel in the field of Mathematics. He specialises in helping with Mathematics papers under GCE O/A - Level and International Baccalaureate.

Mr Lee graduated with a First-Class Honours as a Bachelor of Science from National University of Singapore (NUS). As a student, he won numerous prestigious awards like Tan Teck Chwee Book Prize (Best student in Pure Mathematics) and the D D Chelliah Gold Medal (Best student in Mathematics).

After graduating, Mr Lee enrolled in National Institute of Education for his Post Graduate Diploma of Education specialising in Junior College and Secondary School Mathematics education. He started his teaching career with his alma mater Raffles institution (Year 5 and 6) and moved on to teaching in Catholic Junior College. While teaching in schools, Mr Lee also furthered his studies graduating with Master of Science in Mathematics from NUS.

Embracing continuous learning and improvement, Mr Lee also furthered his studies with an International Baccalaureate Category Two certification. 

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