How to Convert Fractions to Percents Using Division

Math with Mr. J

This math tutorial provides a clear, step-by-step guide on how to convert fractions into percentages. Using a digital chalkboard format, the instructor demonstrates the standard two-step method: first dividing the numerator by the denominator to get a decimal, and then multiplying that decimal by 100 (conceptually explained as moving the decimal point two places to the right). The video covers four distinct examples, progressing from simple terminating decimals to more complex repeating decimals. The video explores key mathematical themes including division, decimal placement, and the concept of "percent" meaning "per 100." It specifically addresses the nuance of repeating decimals, teaching students how to use bar notation and how to round their answers to the nearest whole number or tenth. The progression of difficulty helps scaffold learning, ensuring students understand both the basic algorithm and how to handle results that aren't clean whole numbers. For educators, this resource serves as an excellent direct instruction tool for introducing or reviewing the fraction-to-percent conversion algorithm. The visual demonstration of long division for the first example helps reinforce prerequisite skills, while the later examples provide opportunities to discuss precision and rounding. The video is concise enough to be used as a hook or a mid-lesson reference to clarify the specific procedural steps required for this skill.