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Step 1:I'll solve this problem by explaining the three ways to write ratios:
Step 2:: Ratio as a Fraction
- Example: $$\frac{3}{4}$$ represents a ratio of 3 to 4
- A ratio can be written as a fraction using the division symbol - This shows the relationship between two quantities
Step 3:: Ratio with Colon Notation
- Example: $$3:4$$ is equivalent to the fraction $$\frac{3}{4}
- Ratios can be written using a colon (:) - This is a common way to express ratios in mathematics and everyday language
Step 4:: Ratio as Descriptive Comparison
- Ratios can be written as a verbal comparison with the word "to" - Example: 3 to 4 - This is the most conversational way of expressing a ratio
Final Answer
1. Fraction notation: \frac{3}{4} 2. Colon notation: 3:4 3. Verbal "to" notation: 3 to 4 Each method represents the same proportional relationship between two quantities, just in different formats.
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