Compare two fractions, mixed numbers, or whole numbers and see which is greater using cross multiplication and common denominator steps.
To compare 3/4 and 5/8, cross multiply: 3 × 8 = 24 and 5 × 4 = 20. Since 24 is larger, 3/4 > 5/8.
3/4 is greater than 5/8.
- Cross multiply: 3 × 8 = 24.
- Cross multiply: 5 × 4 = 20.
- Because 24 > 20, 3/4 > 5/8.
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How to Use the Compare Fractions Calculator
Enter two fractions and select Compare Fractions. The calculator simplifies each input internally, cross multiplies the numerators and denominators, and explains the result.
- Type the first fraction, such as 3/4.
- Type the second fraction, such as 5/8.
- Review the cross products and decimal check.
Why Cross Multiplication Works
For positive denominators, comparing a/b and c/d is the same as comparing a × d and c × b. This avoids rounding errors that can happen when decimals repeat.
Comparing Mixed Numbers
A mixed number such as 1 1/2 is first converted to an improper fraction. Then the same cross multiplication method applies. Negative values are handled by carrying the sign into the numerator.
Compare Fractions Examples
3/4 and 5/8
3 × 8 = 24 and 5 × 4 = 20, so 3/4 is greater.
2/3 and 4/6
2 × 6 = 12 and 4 × 3 = 12, so the fractions are equal.
-1/3 and 1/4
A negative fraction is less than a positive fraction, so -1/3 < 1/4.
Common Mistakes When Comparing Fractions
Comparing only denominators
A bigger denominator does not always mean a smaller fraction unless the numerators are the same.
Rounding repeating decimals too early
Cross multiplication keeps the comparison exact.
Ignoring negative signs
Negative fractions need careful sign handling. A negative fraction is always less than a positive fraction.
Compare Fractions FAQs
Can I compare mixed numbers?
Yes. Type values such as 1 1/2 or -2 3/5.
Can I compare decimals?
Yes. Decimals are converted to exact fractions before comparison when possible.
Does this order more than two fractions?
This page compares two fractions. A separate ordering calculator can rank a full list of fractions.
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Reviewer
This educational math content is reviewed under the SolverCalc reviewer rule by Prof. Dr. Khalil Mudassar. WordPress adds the author bio automatically, so this page does not include a duplicate author box.
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Disclaimer
This calculator is intended for general educational and practical use. Check exact fraction notation before using results in graded work.