How to Solve Order of Operations Problems with Fraction Bars

Math with Mr. J

In this clear and concise mathematics tutorial, Mr. J guides students through solving a complex order of operations problem that features a fraction bar. The video specifically demonstrates how to handle an expression where the final answer results in a proper fraction rather than a whole number. Mr. J breaks down the problem step-by-step, modeling how to treat the numerator and denominator as separate groups that must be simplified individually before the final division or simplification occurs. The video explores key mathematical themes including the acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), the role of a fraction bar as a grouping symbol, and the process of simplifying fractions using the Greatest Common Factor (GCF). A significant portion of the instruction focuses on the procedural fluency required to evaluate expressions containing exponents and multiple sets of parentheses. For educators, this video serves as an excellent resource for scaffolding pre-algebra concepts. It directly addresses the common student confusion regarding how to approach large fractional expressions. Teachers can use this video to reinforce the concept that division (the fraction bar) often happens last in these types of problems. The clear visual layout on a digital chalkboard makes it easy for students to follow the logic and replicate the structure in their own work.