1. What is Fraction Comparison?

Fraction comparison is the process of determining which of two fractions is larger, or if they are equal. This calculator uses the cross-multiplication method which is reliable for all positive fractions.

2. How Does the Calculator Work?

The calculator uses the cross-multiplication rule:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction

Explanation: The method avoids division and instead compares the products of the numerator of one fraction with the denominator of the other.

3. Importance of Fraction Comparison

Details: Comparing fractions is fundamental in mathematics, useful in cooking, construction, finance, and any situation requiring proportional reasoning.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator works with whole numbers, decimals, and mixed numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use cross-multiplication instead of division?
A: Cross-multiplication avoids potential rounding errors from division and works consistently for all positive fractions.

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

Q3: What if denominators are equal?
A: When denominators are equal, you can simply compare numerators directly (larger numerator means larger fraction).

Q4: Can I compare more than two fractions?
A: This calculator compares two fractions at a time. For multiple fractions, find a common denominator or convert to decimals.

Q5: How precise are the results?
A: The calculator uses exact arithmetic when possible. For decimal inputs, it uses floating-point precision.