1. What is Fraction to Ratio Conversion?

Fraction to ratio conversion is the process of expressing a fraction (a/b) in ratio notation (a:b). Ratios are commonly used to compare quantities in mathematics, science, cooking, and various real-world applications.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( a \) — Numerator (top number of the fraction)
• \( b \) — Denominator (bottom number of the fraction)

Explanation: The calculator also simplifies the ratio by dividing both numbers by their greatest common divisor (GCD).

3. Importance of Ratio Conversion

Details: Ratios are often preferred over fractions when comparing parts to each other, especially in recipes, mixing solutions, or describing proportions in statistics and probability.

4. Using the Calculator

Tips: Enter both numerator and denominator as positive numbers. The denominator cannot be zero. The calculator will automatically simplify the ratio to its simplest form.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between a fraction and a ratio?
A: Fractions represent parts of a whole, while ratios compare quantities. Fractions have an implied denominator (the whole), while ratios show the relationship between two separate quantities.

Q2: Can the calculator handle decimal numbers?
A: Yes, the calculator works with both whole numbers and decimals. Results will be displayed in decimal form if necessary.

Q3: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of both numbers and divides them by this value to give the simplest ratio.

Q4: What if I enter 0 as numerator or denominator?
A: Numerator can be zero (0:b = 0:1), but denominator cannot be zero (division by zero is undefined).

Q5: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions, then enter the numerator and denominator separately.