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Ratio And Unit Rate Calculator With Fractions

Unit Rate Formula:

\[ \text{Unit Rate} = \frac{\text{Numerator}}{\text{Denominator}} \]

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1. What is Unit Rate?

Unit rate is a ratio that compares two different quantities where one of the terms is one unit. It shows how much of one quantity corresponds to one unit of another quantity.

2. How Does the Calculator Work?

The calculator uses the unit rate formula:

\[ \text{Unit Rate} = \frac{\text{Numerator}}{\text{Denominator}} \]

Where:

Explanation: The calculator accepts fractions for both numerator and denominator, converts them to decimal values, then performs the division to find the rate per single unit.

3. Importance of Unit Rate Calculation

Details: Unit rates are essential for comparing different options in shopping, calculating speed, determining price per item, and many real-world applications where you need to standardize different quantities for comparison.

4. Using the Calculator

Tips: Enter the numerator and denominator as fractions (e.g., 3/4) or whole numbers. The calculator will compute how much of the numerator quantity corresponds to one unit of the denominator quantity.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between ratio and unit rate?
A: A ratio compares two quantities, while a unit rate specifically expresses this comparison per one unit of the denominator.

Q2: Can I use mixed numbers?
A: Yes, convert mixed numbers to improper fractions first (e.g., 1 1/2 becomes 3/2).

Q3: How is this useful in real life?
A: Unit rates help compare prices (price per ounce), speeds (miles per hour), densities (people per square mile), etc.

Q4: What if I get a very small decimal?
A: You can convert it to a more understandable fraction or adjust your units (e.g., price per 100 items instead of per 1).

Q5: Can denominator be greater than numerator?
A: Yes, this will result in a unit rate less than 1, showing what fraction of the numerator corresponds to one unit of denominator.

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