1. What is a Ratio Calculator With Fractions?

Definition: This calculator simplifies ratios containing fractions to their simplest integer form.

Purpose: It helps convert complex fractional ratios into simpler, more understandable forms for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \frac{a}{b} \) — First fraction in the ratio
• \( \frac{c}{d} \) — Second fraction in the ratio
• The result is simplified by dividing both terms by their greatest common divisor (GCD)

Explanation: The calculator first converts the fractional ratio to whole numbers by cross-multiplication, then simplifies the resulting ratio.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand, compare, and use in practical applications like mixing ingredients, scaling drawings, or financial analysis.

4. Using the Calculator

Tips: Enter the numerator and denominator for both fractions. All denominators must be > 0. The calculator will return the ratio in simplest integer form.

5. Frequently Asked Questions (FAQ)

Q1: What if my ratio has whole numbers?
A: Simply enter the whole number as the numerator and 1 as the denominator.

Q2: Can I use decimal numbers?
A: Yes, the calculator accepts decimal inputs for more precise calculations.

Q3: What if I get a result like "5 : 1"?
A: This means the ratio is 5 to 1, which is already in its simplest form.

Q4: How does the calculator handle negative numbers?
A: Negative values are allowed and will be included in the simplified ratio.

Q5: What's the maximum number this calculator can handle?
A: The calculator can handle very large numbers, but extremely large values may cause display issues.