Ratios and Proportions_2010
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A ratio compares two terms and a proportion relates two ratios. A ratio of 1 dog to 4 legs means each dog has 4 legs. With 2 dogs there would be a ratio of 2 dogs to 8 legs. Relating the ratios 1 dog to 4 legs and 2 dogs to 8 legs creates a proportion. Proportions can be used to find missing values, such as if 1/4 = 2/x then x must be 8 to maintain the proportional relationship.
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- 1. RatioS and ProportionS My first presentation
- 2. What is a ratio A ratio is a comparison of two terms. For instance, every dog has four legs, that is a ratio of 1:4 or 4:1
- 3. What happens if I have 2dogs? Since I have two dogs, I would have 8 legs because every dog has four legs, and that is a ratio of 2:8 or 8:2.
- 4. A Proportion Since the ratio 1:4 means that every dog has four legs then the situation where I have two dogs creates a new ratio of 2:8, & the two ratios create a proportion.
- 5. Creating Proportions 1:4 can also be written as 1/4. To find missing values of a proportion I just have to use my head, for instance since 1/4 = 2/x, I can figure out that 2 is double 1, so I would double 4 to get 8, & I get a proportion.
- 6. Another Proportion If I started with 2:3 and I wanted to find d:15. I would have to know that 15 is 5 times bigger than 3 and then multiply 2 x 5 to get 10, that makes the proportion 2:3 = 10:15