
Mastering Ratios: A Comprehensive Guide to Understanding and Combining Ratios
Discover the fundamentals of ratios with practical examples and exercises. Learn how to combine ratios effectively to solve problems. Dive into various scenarios and enhance your ratio-solving skills. Practice with real-life examples to strengthen your understanding and application of ratios.
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Presentation Transcript
Ratio: Ratio: Combining ratios Combining ratios Silent Teacher Intelligent Practice Your Turn Narration 60 in the ratio 1 2 = 60 in the ratio 1 3 = 60 in the ratio 1 4 = Practice
Worked Example Your Turn Ratio of A to B is 3:6, the ratio of B to C is 9:10. What is the ratio of A:C Ratio of A to B is 9:10, the ratio of B to C is 15:10. What is the ratio of A:C @ashtonC94
Combining Ratio Answer in a table The ratio of red to blue is 2:3, the ratio of blue to green is 3:5, what is the ratio of red to green? The ratio of red to blue is 2:3, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 4:6, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 8:12, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 9:12, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:9, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:10, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:10, the ratio of blue to green is 15:10, what is the ratio of red to green? The ratio of red to blue is 120:100, the ratio of blue to green is 150:100, what is the ratio of red to green? 10. The ratio of red to blue is 1 11. The ratio of red to blue is 1 1. 2. 3. 4. 5. 6. 7. 8. 9. 2:1 2:1 3, the ratio of blue to green is 1 3, the ratio of blue to green is 1 3:1 2:1 4, what is the ratio of red to green? 4, what is the ratio of red to green? 12. The ratio of red to blue is ?:?, the ratio of blue to green is ?:? what is the ratio of red to green? 13. The ratio of red to blue is ?:?, the ratio of blue to green is 3?:4? what is the ratio of red to green? Extension 1. How could knowing the lowest common of two numbers help with combining ratios? 2. The ratio of red to blue is ?:19, the ratio of blue to green is 17:? what is the ratio of red to green? 3. If y and z are prime, what is the ratio of red to blue is ?:?, the ratio of blue to green is z:?, what is the ratio of red to green? @ashtonC94
Combining Ratio Answer in a table The ratio of red to blue is 2:3, the ratio of blue to green is 3:5, what is the ratio of red to green? The ratio of red to blue is 2:3, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 4:6, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 8:12, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 9:12, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:9, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:10, the ratio of blue to green is 6:10, what is the ratio of red to green? The ratio of red to blue is 12:10, the ratio of blue to green is 15:10, what is the ratio of red to green? The ratio of red to blue is 120:100, the ratio of blue to green is 150:100, what is the ratio of red to green? 10. The ratio of red to blue is 1 11. The ratio of red to blue is 1 1. 2. 3. 4. 5. 6. 7. 8. 9. 1. 2:5 2. 4:10 = 2:5 3. 4:10 = 2:5 4. 8:20 = 2:5 5. 9:20 6. 24:30 = 4:5 7. 36:50 = 18:25 2:1 2:1 3, the ratio of blue to green is 1 3, the ratio of blue to green is 1 3:1 2:1 4, what is the ratio of red to green? 4, what is the ratio of red to green? 8. 36:20=9:5 9. 9:5 12. The ratio of red to blue is ?:?, the ratio of blue to green is ?:? what is the ratio of red to green? 13. The ratio of red to blue is ?:?, the ratio of blue to green is 3?:4? what is the ratio of red to green? Extension 1. How could knowing the lowest common of two numbers help with combining ratios? 2. The ratio of red to blue is ?:19, the ratio of blue to green is 17:? what is the ratio of red to green? 3. If y and z are prime, what is the ratio of red to blue is ?:?, the ratio of blue to green is z:?, what is the ratio of red to green? 10. 1:2 11. 3:1 12. ?:? 13. ??:?? 14. 15. 17?:??? 16. 16. ??:?? @ashtonC94