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Comparing Fractions Calculator

Comparing Fractions Calculator

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Calculator Scope
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This calculator cross-multiplies the two fractions to determine which is greater, smaller, or equal.

Telling which of two fractions is larger isn't always obvious at a glance, especially when their denominators are completely different and converting both to decimals risks rounding errors on repeating decimals. Enter two fractions here and this calculator compares them using cross-multiplication — no common denominator required — to tell you exactly which is larger, smaller, or whether they're equal. The decimal equivalent of each fraction is shown too, as an intuitive way to double-check the result.

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  • How comparison works: cross-multiply — compare numerator1 × denominator2 against numerator2 × denominator1 — without needing a common denominator first.
  • This avoids rounding errors that can happen when comparing decimal approximations of repeating fractions.
  • The decimal equivalent of each fraction is also shown for an intuitive double-check.

How do I compare two fractions without a calculator?

Cross-multiply: for a/b vs c/d, compare a×d against b×c. The larger product corresponds to the larger fraction.

Which is bigger, 1/2 or 2/3?

1×3=3 and 2×2=4; since 3 < 4, 1/2 is less than 2/3.