Maths & numbers

Order three fractions calculator

Arrange three fractions in ascending order using exact integer comparisons.

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Behind the numbers

How this calculation works

Ordering by numerator alone works only with equal positive denominators. A larger numerator can belong to the smaller fraction.

THE FORMULACompare a/b and c/d by comparing ad and bc

A worked example

One half comes before two thirds, which comes before three quarters.

Good to know

Use positive denominators. Equal fractions appear together.

Read the result

Arrange three fractions in ascending order using exact integer comparisons.

The primary result is labeled “Ascending order”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Use positive denominators. Equal fractions appear together.

For a related exercise, try the fraction calculator.

A few questions, answered

How can I check the default inputs by hand?

One half comes before two thirds, which comes before three quarters.

Which rule does this calculator apply?

Compare a/b and c/d by comparing ad and bc

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