How to Order Fractions from Least to Greatest

The Organic Chemistry Tutor

This concise mathematics tutorial demonstrates the step-by-step process of ordering a set of four fractions with unlike denominators from least to greatest. The video focuses on the method of finding a common denominator to compare values accurately, walking viewers through the calculations required to convert disparate fractions into equivalent forms that can be easily ranked. The content covers key arithmetic concepts including identifying unique factors to calculate the Least Common Denominator (LCD), multiplying fractions by forms of one (e.g., 10/10) to create equivalent fractions, and comparing numerators. It concludes by verifying the final order using a secondary method: converting each fraction into its decimal equivalent. For educators, this video serves as an excellent direct instruction tool or review resource for upper elementary and middle school students struggling with number sense. It models clear procedural thinking and provides two distinct strategies (common denominators and decimal conversion) for solving the same problem, encouraging students to verify their work and build flexibility in their mathematical approach.