How to Determine if Ratios Are Equivalent

The Organic Chemistry Tutor

This instructional mathematics video provides a clear, step-by-step guide on how to determine if two ratios are equivalent. The narrator introduces two distinct methods for verification: simplifying fractions to see if they yield the same result, and cross-multiplying to check if the cross-products are equal. The video progresses from checking equivalence to solving for an unknown variable within a proportional relationship. The content covers key mathematical themes including ratios, fractions, cross-multiplication, and basic algebraic solving strategies. It specifically highlights mental math techniques, demonstrating how to break down larger numbers into prime factors to simplify equations without a calculator. The video uses three distinct examples: one where ratios are equivalent, one where they are not, and a final problem solving for 'X'. For educators, this video serves as an excellent direct instruction tool for introducing or reinforcing 6th and 7th-grade ratio standards. The dual-method approach allows students to choose the strategy that makes the most sense to them, while the final segment offers a valuable extension into algebraic thinking and number sense by showing how to solve proportions through factoring rather than brute-force multiplication.