Compare Fractions Converter
This tool helps you compare two fractions to determine which is greater, smaller, or if they are equal. Whether the denominators are the same or different, the calculator finds a common base, simplifies if needed, and shows a clear comparison result.
Fraction Comparison Calculator
Fraction Comparison Formula
$$\frac{a}{b} \quad \text{vs.} \quad \frac{c}{d} \Rightarrow \frac{a \cdot d}{b \cdot d} \quad \text{vs.} \quad \frac{c \cdot b}{d \cdot b}$$
Explanation:
To compare two fractions, cross-multiply the numerator of each with the denominator of the other. Then compare the resulting values to determine which fraction is greater or if they are equal.
Fraction Comparison – Calculation Example
Compare: 3/4 and 5/6
- Cross-multiply → 3 × 6 = 18, 5 × 4 = 20
- Compare → 18 < 20
- Result: 3/4 < 5/6
Comparing fractions is a key part of math education, useful in everyday scenarios such as budgeting, measurements, and data analysis. This calculator automates the process by finding common denominators or using cross-multiplication. It’s helpful for students learning fraction logic and for anyone needing fast, accurate results when evaluating proportions.