How to Convert Fractions and Mixed Numbers into Percentages

The Organic Chemistry Tutor

This instructional math video provides a clear, step-by-step tutorial on converting fractions and mixed numbers into percentages. The instructor demonstrates two primary methods: the equivalent fraction method, where the denominator is scaled to 100, and the long division method, used when the denominator cannot easily be multiplied to reach 100. The video progresses from simple fractions to more complex examples involving repeating decimals and mixed numbers, ensuring learners understand how to handle various scenarios they might encounter in algebra. Key themes include numerical fluency, the relationship between fractions, decimals, and percentages, and procedural strategies for arithmetic operations. The video explicitly covers mental math shortcuts for friendly denominators (like 5, 10, 20, 25) while also teaching the universal algorithm of long division for difficult denominators (like 8 and 7). It also addresses rounding and formatting the final percentage answer. For educators, this video is an excellent tool for reinforcing foundational arithmetic skills or introducing percentage conversion in middle school. The black background and high-contrast writing make it visually accessible for whiteboard projection. The distinct separation of methods allows teachers to pause and practice specific skills, making it suitable for both direct instruction and review stations. Note that the final segment of the video is promotional, so teachers should plan to end the viewing session around the 7:43 mark.