How do you compare fractions without decimals?

For positive denominators, compare a/b and c/d by cross multiplying: compare a x d with c x b. This avoids rounding errors.

Can I compare mixed numbers?

Yes. Enter values such as 2 1/3 or -1 5/8. The calculator converts them to improper fractions before comparing.

What if the denominators are different?

Different denominators are fine. The tool shows both the exact cross-product comparison and an equivalent common-denominator form.

Can fractions be equal even if they look different?

Yes. Fractions such as 1/2, 2/4, and 50/100 are equal because they reduce to the same value.

Yes. The calculator runs in your browser and does not upload or store your fractions.

Comparing Fractions Calculator

Compare two fractions, mixed numbers, or whole numbers exactly. The tool uses cross multiplication with integer arithmetic, so it does not depend on rounded decimal estimates.

Fractions to Compare

First value Use a fraction, whole number, decimal, or mixed number.

Second value Denominators cannot be zero.

Private by design: your fractions stay in this browser tab and are not uploaded.

Result

Comparison 3/4 > 5/8 The first fraction is greater.

Simplified values

3/4 and 5/8

Cross-products

3 x 8 = 24; 5 x 4 = 20

Common denominator

6/8 and 5/8

Decimals

0.75 and 0.625

How the Calculator Compares Fractions

For fractions a/b and c/d, with nonzero denominators, the exact comparison can be made by cross multiplying: compare a x d with c x b. If a x d is larger, a/b is larger. If c x b is larger, c/d is larger. If the products match, the fractions are equal.

The calculator also reduces each input to lowest terms and shows an equivalent common-denominator form. That makes it easier to see why fractions such as 2/3 and 4/6 compare as equal.

Accepted formats

Whole numbers: 4, -12
Fractions: 7/8, -9/4
Mixed numbers: 2 1/3, -1 5/8
Finite decimals: 0.75, -2.125

Cross multiplication is especially useful when denominators are large, when one input is a mixed number, or when a decimal approximation would hide the exact relationship. The method compares whole-number products instead of rounded decimal values, so the result is stable for equivalent fractions, negative fractions, and values that reduce to the same simplest form. That makes it practical for homework checks, recipe scaling, shop measurements, and quick classroom examples.

Example

Compare 3/4 and 5/8. Cross multiply: 3 x 8 = 24 and 5 x 4 = 20. Since 24 is greater than 20, 3/4 is greater than 5/8. With a common denominator, they are 6/8 and 5/8.

FAQs

Is comparing with decimals always safe?

Decimals are useful for checking, but exact cross multiplication is safer because many fractions have repeating decimal forms that must be rounded.

Can a denominator be negative?

Yes. The calculator normalizes signs so 1/-2 becomes -1/2 before comparing.

What happens with very large numbers?

The comparison uses JavaScript BigInt integer arithmetic for the fraction parts. Very large finite decimals may be rejected if they use scientific notation or exceed practical display limits.