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Comparing Quantities by Using Ratios - Comparing Quantities Video Lecture - Class 8

FAQs on Comparing Quantities by Using Ratios - Comparing Quantities Video Lecture - Class 8

1. What is ratio and how is it used to compare quantities?
Ans. A ratio is a comparison of two or more quantities expressed in terms of their relative sizes. It is often written as a fraction or using a colon. Ratios are used to compare quantities by showing the relationship between them. For example, if we have a ratio of 2:3, it means that the first quantity is two-thirds of the second quantity.
2. How can ratios be simplified?
Ans. Ratios can be simplified by dividing both the numerator and denominator by their greatest common divisor. This helps in finding the simplest form of the ratio. For example, if we have a ratio of 6:9, we can simplify it by dividing both numbers by 3, resulting in a simplified ratio of 2:3.
3. Can ratios be used to compare quantities of different units?
Ans. No, ratios cannot be used to directly compare quantities of different units. Ratios are used to compare quantities of the same kind or unit. If the quantities have different units, they need to be converted to a common unit before a meaningful ratio can be obtained.
4. How can we use ratios to solve real-life problems?
Ans. Ratios are commonly used to solve real-life problems involving comparisons. For example, if we have a recipe that requires 2 cups of flour and 3 cups of sugar, we can use the ratio 2:3 to determine the amount of sugar needed when we have a certain amount of flour. By setting up a proportion using the given ratio, we can solve for the unknown quantity.
5. Can ratios be used to compare more than two quantities?
Ans. Yes, ratios can be used to compare more than two quantities. For example, if we have three quantities A, B, and C, we can express their relationship using ratios such as A:B, B:C, and C:A. This allows us to compare all three quantities simultaneously and understand their relative sizes.
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