1. What is Fraction Comparison?

This calculator compares three fractions to determine if they are in strictly decreasing order (a/b > c/d > e/f). It's useful for mathematical problems, ratio comparisons, and educational purposes.

2. How Does the Calculator Work?

The calculator converts fractions to decimal values and compares them:

Where:

• \( a \) — First numerator
• \( b \) — First denominator
• \( c \) — Second numerator
• \( d \) — Second denominator
• \( e \) — Third numerator
• \( f \) — Third denominator

Explanation: The calculator converts each fraction to its decimal equivalent by dividing numerator by denominator, then checks if the values are in strictly decreasing order.

3. Importance of Fraction Comparison

Details: Comparing fractions is fundamental in mathematics, helping understand proportions, ratios, and relationships between quantities. It's essential in fields like engineering, finance, and science.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators). Denominators cannot be zero. The calculator will determine if the fractions are in strictly decreasing order.

5. Frequently Asked Questions (FAQ)

Q1: What if two fractions are equal?
A: The calculator will return "False" since strict inequality (> rather than ≥) is required.

Q2: Does the calculator simplify fractions?
A: No, it compares the exact values entered. For simplified comparisons, reduce fractions first.

Q3: What about negative fractions?
A: The calculator works with negative values, following standard mathematical comparison rules.

Q4: How precise is the comparison?
A: It uses floating-point arithmetic, so very close values might be affected by rounding errors.

Q5: Can I compare more than three fractions?
A: This calculator is designed for three fractions only. For more, you'd need to run multiple comparisons.