How to Convert Fractions to Decimals Using Equivalent Fractions

MatholiaChannel

A clear, step-by-step instructional video demonstrating how to convert fractions and mixed numbers into decimals by creating equivalent fractions. The video uses a whiteboard-style animation to visualize the process of changing denominators to powers of ten (10 or 100) to facilitate easy decimal conversion. It progresses from a simple fraction to a more complex one requiring decision-making, and finally to a mixed number. The content covers three specific examples: converting 3/5 to 0.6, converting 7/20 to 0.35, and converting 2 13/50 to 2.26. It explicitly addresses the strategy of multiplying or dividing the numerator and denominator by the same number to maintain equivalence. The video also highlights potential pitfalls, such as when division results in a remainder, guiding students to use multiplication instead. This resource is highly valuable for upper elementary math classrooms as it reinforces the connection between fractions and decimals. It is excellent for introducing the concept of equivalent fractions as a tool for conversion, rather than just relying on long division. Teachers can use this video to model procedural thinking, visual strategies for mental math, and to clarify why denominators of 10 and 100 are crucial for decimal notation.