A ratio compares two or more quantities, such as 2 parts concentrate to 3 parts water. A proportion states that two ratios are equal, which is how recipes, map scales and mixtures are scaled up or down.

Use these calculators to reduce a ratio to its simplest whole-number form, see each part as a share of the whole, or find the missing value that keeps two ratios equal.

Calculators in this category

Which calculator do I need?

  • What is 12 : 18 in its simplest form? The Ratio Calculator simplifies a two-part ratio, including decimal ratios, and shows each side as a percentage of the total.
  • A recipe for 4 needs 300 g of flour. How much for 6? The Proportion Calculator solves a : b = c : x by cross-multiplication.

Good to know

Order matters in a ratio: 2 : 3 and 3 : 2 describe different mixtures.

To share an amount in a ratio with three or more parts, add the parts, divide the amount by that total, and multiply each part by the result: 85 in the ratio 12 : 2 : 3 is 17 parts of 5, so the shares are 60, 10 and 15. The ratios and proportions guide works through this and map scales.

Background reading