1. What is Fraction Comparison?

Fraction comparison is the process of determining which of two fractions is larger, or if they are equal. This is fundamental in mathematics for ordering fractions, solving equations, and making proportional comparisons.

2. How Does the Calculator Work?

The calculator compares fractions using two methods:

3. Methods of Comparison

Cross Multiplication: Multiply numerator of first fraction with denominator of second and vice versa.
LCM Method: Find least common multiple of denominators and convert both fractions to equivalent fractions with this common denominator.

4. Using the Calculator

Instructions: Enter numerators and denominators for both fractions. All denominators must be positive integers. The calculator will show which fraction is larger and the ordered sequence.

5. Frequently Asked Questions (FAQ)

Q1: Which method is better - cross multiplication or LCM?
A: Cross multiplication is simpler for comparing two fractions, while LCM is better for ordering multiple fractions.

Q2: What if denominators are equal?
A: With equal denominators, simply compare numerators directly.

Q3: How to compare more than two fractions?
A: Find LCM of all denominators and convert each fraction to equivalent fraction with this common denominator.

Q4: What about negative fractions?
A: Negative fractions should be compared by their absolute values first, then consider the sign.

Q5: How to compare mixed numbers?
A: Convert mixed numbers to improper fractions first before comparing.