How to Compare Fractions Calculator

Compare Fractions Using:

\[ \text{Cross Multiplication or Least Common Denominator (LCD)} \]

First Fraction:

Second Fraction:

Comparison Method:

Comparison Result:

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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 solving equations, ordering numbers, and making measurements.

2. Comparison Methods

There are two main methods to compare fractions:

Cross Multiplication: Multiply numerator of first fraction with denominator of second, and vice versa.
Least Common Denominator (LCD): Convert both fractions to equivalent fractions with the same denominator.

Example: Compare 2/3 and 3/5

Cross Multiplication: 2×5=10 vs 3×3=9 → 10>9 → 2/3 > 3/5
LCD Method: LCD=15 → 10/15 vs 9/15 → 10/15 > 9/15

3. How to Use This Calculator

Steps:

Enter numerators and denominators for both fractions
Select comparison method (Cross Multiplication or LCD)
Click "Compare" to see the result and explanation

4. Frequently Asked Questions (FAQ)

Q1: Which method is better?
A: Cross multiplication is faster for simple fractions, while LCD method is better when you need equivalent fractions.

Q2: What if denominators are equal?
A: Simply compare numerators - the fraction with larger numerator is bigger.

Q3: What about improper fractions?
A: The calculator works with both proper and improper fractions.

Q4: Can I compare more than two fractions?
A: This calculator compares two fractions at a time. For multiple fractions, use the LCD method to convert all to common denominator.

Q5: What if I enter zero as denominator?
A: The calculator requires denominators to be positive integers (≥1).