How to Divide Mixed Numbers Step-by-Step

The Organic Chemistry Tutor

This concise mathematics tutorial demonstrates the step-by-step process for dividing mixed numbers. The video outlines a clear four-step algorithm: converting mixed numbers to improper fractions, applying the "Keep, Change, Flip" method to convert division into multiplication, performing the multiplication (including simplifying fractions), and finally converting the result back into a mixed number. The narrator uses a digital blackboard to walk through two distinct examples—one that allows for cross-cancellation and one that requires multiplying larger numbers—covering various scenarios students might encounter. The content focuses on procedural fluency in fraction operations, specifically addressing the complex task of dividing mixed numbers. Key mathematical themes include the relationship between mixed numbers and improper fractions, the concept of reciprocals (flipping the second fraction), and the strategy of simplifying before multiplying to make calculations more manageable. The video also reinforces basic arithmetic skills like finding multiples and remainders when converting back to mixed numbers. For educators, this video serves as an excellent direct instruction tool or review resource for upper elementary and middle school math classes. It breaks down a multi-step procedure into manageable chunks, making it ideal for students who struggle with the sequence of operations. Teachers can use this video to introduce the standard algorithm after students have explored conceptual models, or as a remediation tool for students who need to refresh their skills on fraction division algorithms. The clear visual layout and focused narration minimize distractions, allowing students to focus purely on the mathematical mechanics.