Adding Fractions with Sums Greater Than One

Math with Mr. J

In this clear and methodical math tutorial, Mr. J demonstrates how to add fractions with unlike denominators that result in sums greater than one whole. The video addresses the specific scenario where adding fractions produces an improper fraction (where the numerator is larger than the denominator) and guides viewers through the necessary steps to convert that answer into a mixed number. The visual style simulates a chalkboard, making it easy for students to follow the step-by-step written calculations. The video explores several key mathematical themes, including finding the Least Common Denominator (LCD), renaming fractions to create equivalent fractions, adding numerators while keeping denominators constant, and converting improper fractions to mixed numbers using division. Mr. J works through two distinct examples—$7/9 + 2/3$ and $4/5 + 3/4$—providing a repetitive structure that reinforces the procedural algorithm required for solving these problems. This resource is highly valuable for 5th and 6th-grade classrooms as it explicitly models the entire workflow of fraction addition, from setup to simplification. It is excellent for introducing the concept of sums greater than one, reviewing prerequisite skills like finding equivalent fractions, or as a remediation tool for students struggling with the multi-step process. Teachers can use this video to scaffold instruction, allowing students to see the logic behind why we convert improper fractions and how division relates to that process.