When to use this calculator
Compare two fractions by exact integer cross products within the input limits. Positive denominators make cross-product comparison valid without reversing the inequality.
Explore the fractions & mixed numbers calculators for other questions in this topic. For a related calculation, use the Decimal to Fraction Calculator: Convert a finite decimal string into a reduced fraction.
PUTTING IT INTO PRACTICE
Compare Fractions: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| First numerator (integer) | 2 |
| First denominator (integer) | 3 |
| Second numerator (integer) | 3 |
| Second denominator (integer) | 4 |
| Result | First fraction is smaller |
- Check the input labels and enter the example values above.
- Apply the relationship: Compare a × d against c × b..
- The result is First fraction is smaller , rounded for display.
How to interpret your result
Positive denominators make cross-product comparison valid without reversing the inequality.
Use positive nonzero denominators and whole-number numerator inputs. A mixed number combines a whole part and a fractional remainder. Decimal conversion here covers finite decimals, not a claim about an unmarked repeating pattern.
Frequently asked questions
Why simplify a fraction?
Simplification divides both parts by their greatest common divisor while preserving the value. It makes equivalent fractions easier to compare.
When is the compare fractions calculator useful?
Compare two fractions by exact integer cross products within the input limits. Positive denominators make cross-product comparison valid without reversing the inequality.
How do I use the compare fractions calculator?
Enter first numerator (integer), first denominator (integer), second numerator (integer), second denominator (integer). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Compare a × d against c × b..
What should I check before using the result?
Positive denominators make cross-product comparison valid without reversing the inequality.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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