How to Multiply Mixed Numbers with Examples

The Organic Chemistry Tutor

This instructional video provides a clear, step-by-step tutorial on how to multiply two mixed numbers. The narrator guides viewers through two distinct examples, demonstrating the standard algorithm which involves converting mixed numbers into improper fractions, multiplying the numerators and denominators across, and then converting the resulting improper fraction back into a simplified mixed number. The video emphasizes procedural fluency and mental math strategies to solve these multi-step arithmetic problems. Key themes explored include operations with rational numbers, the relationship between mixed numbers and improper fractions, and multi-digit multiplication. The video specifically breaks down the intermediate calculation steps, such as using the distributive property to multiply 7 by 22 mentally and performing standard vertical multiplication for 13 by 17. It also demonstrates division strategies by listing multiples to convert large improper fractions back to mixed numbers. For educators, this video serves as an excellent direct instruction tool or review resource for upper elementary and middle school students. It models mathematical thinking by vocalizing the internal monologue required to solve these problems, such as checking multiples and breaking down complex multiplication. It effectively addresses the common student struggle of organizing the multiple steps required in fraction operations, making it valuable for remediation or flipped classroom assignments.