How to Convert Improper Fractions to Mixed Numbers Using Long Division

The Organic Chemistry Tutor

This educational video provides a clear, step-by-step tutorial on converting improper fractions to mixed numbers using the long division method. The narrator utilizes a digital whiteboard to demonstrate four distinct examples, guiding viewers through setting up the division problem, identifying the quotient and remainder, and correctly placing these values to form the final mixed number. The content focuses on the mechanical relationship between division and fractions, reinforcing the roles of the numerator, denominator, quotient, whole number, and remainder. It introduces a reliable algorithm for conversion and includes a method for checking answers by converting the mixed number back into an improper fraction using multiplication and addition. Ideal for upper elementary and middle school mathematics classrooms, this video serves as both an instructional guide and a practice tool. It follows a "I Do, We Do, You Do" pedagogical structure, starting with direct instruction and moving to opportunities for viewer practice. Teachers can use this resource to introduce the topic, support struggling learners with a visual procedure, or review concepts before a test.