Comparing Fractions Calculator

Comparing Fractions Calculator

Compare two fractions using cross-multiplication to avoid floating-point precision issues.

Last updated: 2026-06-21T07:59:20.921Z
Fraction 1
<
Fraction 2

Enter numerators and denominators as numbers. Denominators must not be zero.

Comparison

Fraction 1 is less than Fraction 2

Decimal 1

0.5

Decimal 2

0.6667

Cross 1

3

Cross 2

4

What is comparing fractions?

Comparing fractions means deciding which fraction is larger, smaller, or whether they are equal. This calculator uses cross-multiplication first, then shows the decimal values for reference.

How to compare

Cross-multiply to compare two fractions. If the cross products match, the fractions are equal.

Worked example

Compare 3/4 and 5/7

3 x 7 = 21

5 x 4 = 20

3/4 is larger.

Frequently asked questions

What if the denominators match?

Compare the numerators directly.

What if the numerators match?

The fraction with the smaller denominator is larger.

Can I compare improper fractions?

Yes. The decimal and cross-multiply methods both work.

Why cross-multiply?

It avoids finding a common denominator.

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