1. What is Fraction Comparison?

This calculator compares two fractions to determine which is larger or if they are equal. It uses the cross-multiplication method which is reliable for all positive fractions.

2. How Does the Calculator Work?

The calculator uses cross-multiplication:

Where:

• If \( a \times d > c \times b \), then \( \frac{a}{b} > \frac{c}{d} \)
• If \( a \times d < c \times b \), then \( \frac{a}{b} < \frac{c}{d} \)
• If \( a \times d = c \times b \), then \( \frac{a}{b} = \frac{c}{d} \)

Explanation: This method avoids converting to decimals and works directly with the fraction components.

3. Importance of Comparing Fractions

Details: Comparing fractions is fundamental in mathematics, useful in measurements, ratios, probability, and real-world applications like cooking or construction.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. Denominators must be positive numbers. The calculator will show which fraction is larger or if they're equal.

5. Frequently Asked Questions (FAQ)

Q1: What if my fractions have different denominators?
A: This calculator works perfectly with different denominators using cross-multiplication - no need to find common denominators.

Q2: Does this work for negative fractions?
A: The calculator is designed for positive fractions. For negative fractions, additional rules about signs would be needed.

Q3: What about improper fractions?
A: The method works for all types of fractions - proper, improper, and mixed numbers (entered as improper fractions).

Q4: How accurate is this method?
A: Cross-multiplication gives mathematically precise results for fraction comparison.

Q5: Can I compare more than two fractions?
A: This calculator compares two fractions at a time. For multiple fractions, you would need to compare them pairwise.