Ratio Calculator

Simplify a ratio and scale it to an equivalent ratio using the same multiplier for both parts.

Simplified Ratio

2:3

Scaled Ratio

24:36

Ratio calculation

To simplify a:b, divide both a and b by their greatest common factor. To scale a:b by k, multiply both parts by k to get (a × k):(b × k).

Example calculation

A ratio of 12:18 has a greatest common factor of 6, so its simplified form is 2:3. Scaling 12:18 by 2 gives 24:36.

Frequently Asked Questions

What is a ratio?

A ratio compares two quantities by showing how much of one quantity there is relative to another.

How do you simplify a ratio?

Divide both parts of the ratio by their greatest common factor. For example, 12:18 simplifies to 2:3.

How do you scale a ratio?

Multiply both parts by the same number. For example, multiplying 2:3 by 4 gives the equivalent ratio 8:12.

Can ratios contain decimals?

Ratios can compare decimal quantities, but multiplying both parts by the same factor can make them easier to express as whole numbers.

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