½ Fraction Comparison Calculator

Compare two fractions using cross multiplication and show the larger value.

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Enter details

Enter the numerator of the first fraction.
Denominator must not be zero.
Enter the numerator of the second fraction.
Denominator must not be zero.

Fill in the details and click Calculate to see your results.


Also available in our Android app, with charts and full breakdown tables.

📘 About the Compare Fractions

Compare num1 x den2 with num2 x den1.

The comparison output is 1 when the first fraction is larger, 0 when equal and -1 when the second is larger.

For intuitive ordering, use positive denominators.

🧮 Formula

Formula
Compare a/b and c/d by comparing ad with cb
Compare a/b and c/d by comparing ad with cb

✏️ Worked example

2/3 versus 3/5

You enter
First Numerator2
First Denominator3
Second Numerator3
Second Denominator5
You get
Comparison (1 = first larger, 0 = equal, -1 = second larger)1
Cross-Multiplied Difference1

2/3 is larger than 3/5 because 10 is greater than 9.

Try this example →

🧭 How to use this calculator

What you enter

  • First NumeratorEnter the numerator of the first fraction.
  • First DenominatorDenominator must not be zero.
  • Second NumeratorEnter the numerator of the second fraction.
  • Second DenominatorDenominator must not be zero.

What you get

  • Comparison (1 = first larger, 0 = equal, -1 = second larger)
  • Cross-Multiplied Difference

💡 Important notes

  • Positive denominators make the cross-product comparison straightforward.
  • The result code is numeric for compatibility with the current engine.

❓ Frequently asked questions

Why use cross multiplication?

It compares the fractions without relying on rounded decimal values.

What does 0 mean?

The two fractions are equal.

Can denominators be negative?

The arithmetic still works, but positive denominators are recommended for intuitive comparison.