https://www.khanacademy.org/math/class-9-algebra-od/x46dfd2740ea2b9e7:ratio-and-proportion/x46dfd2740ea2b9e7:various-processes-relating-to-ratios/v/operations-on-equal-ratios 2026-07-15T13:40:42.972551836Z Operations on equal ratios In this updated video, you will master the essential techniques of ratio and proportion by exploring all the fundamental operations on equal ratios. We begin with a comprehensive breakdown of the core operations—including Invertendo, Alternando, Componendo, and Dividendo—showing you exactly how to manipulate equal fractions algebraically. From there, we dive deeper into the general combined form of Componendo-Dividendo, a powerful shortcut used to simplify complex algebraic equations instantly. After a quick summary to lock in the key rules, the video wraps up with a practical practice problem so you can apply what you've learned and test your skills. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Operations on equal ratios In this updated video, you will master the essential techniques of ratio and proportion by exploring all the fundamental operations on equal ratios. We begin with a comprehensive breakdown of the core operations—including Invertendo, Alternando, Componendo, and Dividendo—showing you exactly how to manipulate equal fractions algebraically. From there, we dive deeper into the general combined form of Componendo-Dividendo, a powerful shortcut used to simplify complex algebraic equations instantly. After a quick summary to lock in the key rules, the video wraps up with a practical practice problem so you can apply what you've learned and test your skills. https://cdn.kastatic.org/ka-youtube-converted/TKGypZYE5gc.mp4/TKGypZYE5gc.mp4 410 Equal Ratios https://www.khanacademy.org/math/mr-class-9/xdc44757038a09aa4:ratio-and-proportion/xdc44757038a09aa4:equal-ratios/e/application-of-properties-of-equal-ratios 2026-06-12T03:11:03.969960986Z Application of properties of equal ratios In this exercise, we will solve the problems based on application of properties of equal ratios. Khan Academy exercise https://www.khanacademy.org/math/mr-class-9/xdc44757038a09aa4:ratio-and-proportion/xdc44757038a09aa4:equal-ratios/v/theorem-on-equal-ratios 2026-07-15T13:40:42.972551836Z Theorem on equal ratios Understand the theorem on equal ratios with this clear and structured lesson! We begin by explaining the concept of equal ratios and how they are applied in mathematics. The video then introduces the k-method, a powerful technique for solving ratio problems efficiently. To reinforce learning, several solved examples are provided, showing step-by-step solutions that make the concepts easy to grasp. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Theorem on equal ratios Understand the theorem on equal ratios with this clear and structured lesson! We begin by explaining the concept of equal ratios and how they are applied in mathematics. The video then introduces the k-method, a powerful technique for solving ratio problems efficiently. To reinforce learning, several solved examples are provided, showing step-by-step solutions that make the concepts easy to grasp. https://cdn.kastatic.org/ka-youtube-converted/EtVPAmStODE.mp4/EtVPAmStODE.mp4 377 Equal Ratios https://www.khanacademy.org/math/mr-class-9/xdc44757038a09aa4:ratio-and-proportion/xdc44757038a09aa4:equal-ratios/e/method-to-solve-equal-ratios 2026-06-12T03:11:03.969960986Z Method to solve equal ratios In this exercise, we will learn the method to solve equal ratios. Khan Academy exercise