How do I check if two ratios are equivalent?

For a:b and c:d, compare the cross products a × d and b × c. The ratios are equivalent when the cross products are equal.

Can the calculator simplify the ratio first?

Yes. It reduces the starting ratio to simplest form before generating a list of equivalent ratios.

Generate & compare

Generate equivalent ratios from a two-part ratio, or check whether another ratio represents the same relationship.

Enter a two-part ratio. The calculator simplifies it first, then generates multiples.

Rule: multiply or divide both parts of a ratio by the same non-zero number. For 3:5, examples include 6:10, 9:15 and 12:20.

For a:b and c:d, compare the cross products a × d and b × c. If they are equal, the ratios are equivalent.

3:5 and 12:20 are equivalent because 3 × 20 = 60 and 5 × 12 = 60.

What are equivalent ratios?

Equivalent ratios describe the same relationship even when the numbers are different.

How do I make an equivalent ratio?

Multiply or divide both parts by the same non-zero number.

How do I check two ratios?

Cross multiply. If a × d equals b × c, then a:b and c:d are equivalent.