Adding Three Fractions with Different Denominators

The Organic Chemistry Tutor

This educational math tutorial demonstrates a reliable, algorithmic method for adding three fractions with different denominators. The video guides viewers through two complete examples, showing step-by-step how to find a common denominator by multiplying the three distinct denominators together. This specific technique guarantees a common denominator without requiring students to list multiples to find the Least Common Multiple (LCM), though it often results in larger numbers that need simplification at the end. The content focuses on key arithmetic concepts including identifying numerators and denominators, creating equivalent fractions, adding integers, and simplifying fractions to their lowest terms. The narrator uses color-coding (red for additions, blue for emphasis) to help viewers track the changes in numbers as fractions are converted. The second example introduces a more complex scenario involving larger numbers and the necessity of simplifying the final result. For educators, this video serves as an excellent intervention tool for students struggling with the concept of Least Common Multiples. It offers a "brute force" method that reduces cognitive load regarding finding the LCD, allowing students to focus on the process of equivalent fraction conversion. It works well for direct instruction, homework support, or as a reference for a "Plan B" strategy when students get stuck on traditional LCD methods.