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Ratio & Proportion
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Flashcards: Ratio & Proportion

20 Flashcards

FAQs on Flashcards: Ratio & Proportion

1. What is the difference between ratio and proportion?
Ans.A ratio is a comparison of two quantities, expressed as a fraction or with a colon (e.g., 3:2), that shows how much of one thing there is compared to another. A proportion, on the other hand, is an equation that states that two ratios are equal (e.g., 3:2 = 6:4), often used to solve for unknowns in problems.
2. How can ratios be simplified?
Ans.Ratios can be simplified by dividing both sides of the ratio by their greatest common divisor (GCD). For instance, if the ratio is 8:12, the GCD is 4, so simplifying gives 2:3.
3. What are some real-life applications of ratios and proportions?
Ans.Ratios and proportions are commonly used in various real-life situations such as cooking (adjusting ingredient quantities), financial analysis (calculating profit margins), and construction (scaling measurements), making them essential for practical problem-solving.
4. How do you solve a proportion equation?
Ans.To solve a proportion equation, cross-multiply the two ratios. For example, if the proportion is a/b = c/d, you would calculate a*d = b*c. Then, isolate the variable to find its value.
5. What are some common mistakes to avoid when working with ratios and proportions?
Ans.Common mistakes include forgetting to simplify ratios, misapplying the cross-multiplication method, and failing to check if the ratios are in the same units before comparing. It’s crucial to ensure clarity and accuracy to avoid errors in calculations.
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