This study examined the effectiveness of two distinct teaching methods—the procedural method and the Vedic Mathematics technique—on the performance of junior high school students in simplifying algebraic fractions. Utilizing a quasi-experimental design, the research involved two groups: a control group taught using the procedural method and an experimental group taught through Vedic Math. Pre-test and post-test results were analyzed to determine differences in performance, accuracy, and speed. Findings showed no significant difference in the pre-test scores, indicating similar initial proficiency levels. However, both groups demonstrated significant improvement after instruction, confirming the positive impact of the interventions. The Vedic Math group outperformed in problem-solving speed without compromising accuracy, while both achieved the same mastery level under DepEd standards. Regression analysis revealed that pre-test scores and accuracy were the strongest predictors of post-test performance, emphasizing the importance of solid foundational understanding. The study concludes that adopting a hybrid approach, combining the procedural method and Vedic Math, enhances mastery, efficiency, and fluency in mathematical learning. The results provide practical insights for teachers, curriculum developers, and policymakers in improving mathematics instruction.