How to Multiply Fractions and Whole Numbers

The Organic Chemistry Tutor

This concise mathematics tutorial provides a step-by-step guide on how to multiply proper fractions by whole numbers. The video walks viewers through four distinct practice problems, starting with simple calculations that result in whole numbers and progressing to more complex equations that yield improper fractions. The narrator demonstrates the fundamental technique of rewriting whole numbers as fractions over a denominator of one, allowing for straightforward multiplication across numerators and denominators. Key mathematical themes include fraction multiplication, simplifying fractions, and converting improper fractions into mixed numbers. The video specifically highlights two different mental math strategies for converting improper fractions: standard division with remainders and a decomposition method finding the highest multiple of the denominator. These strategies help students develop number sense beyond simple rote memorization of algorithms. For educators, this video serves as an excellent direct instruction tool or review resource for upper elementary and middle school students. The clear, uncluttered visual presentation focuses entirely on the mathematical steps without distraction, making it ideal for students who need focused procedural support. It connects the operation of multiplication with the skills of simplification and mixed number conversion, offering a comprehensive look at fraction arithmetic in just a few minutes.