Simplifying Complex Fractions Step-by-Step

Common Mistakes
  • Multiplying by the reciprocal incorrectly
  • Canceling terms instead of factors
  • Forgetting to factor expressions before looking for common factors
  • Canceling across addition or subtraction
  • Forgetting that division by a fraction means multiply by its reciprocal
  • Leaving the answer unsimplified

Video Length: 6:41

Complex fractions can look intimidating, but they’re really just a combination of algebra skills you’ve already learned.

In this video, you’ll learn how to simplify complex fractions involving rational expressions by combining expressions, multiplying by the reciprocal, factoring, and canceling common factors. We’ll work through an example step-by-step and show how multiple algebra concepts come together to simplify even the most complicated-looking fractions.

In this lesson you’ll learn:

• How to identify a complex fraction
• How to simplify rational expressions before starting
• When and how to factor expressions
• How to cancel common factors correctly
• How to multiply by the reciprocal
• How to simplify complex fractions involving variables

By the end of this lesson, you’ll be able to simplify complex fractions with confidence and understand why each step works.

Whether you’re taking Algebra 2, College Algebra, Precalculus, or preparing for the ACT, complex fractions are an important skill that combines factoring, rational expressions, and fraction operations.

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