Simplify
12 : 18 = 2 : 3 (divide both terms by 6).
Ratio Calculator
Calculate and simplify ratios with step-by-step solutions
Results
Enter values and click Calculate to see the result.
Theory
A ratio compares quantities. A proportion states that two ratios are equal.
Key concepts
- Simplify: Divide all terms by their greatest common divisor.
- Multiplying every term by the same nonzero number preserves the ratio.
- A proportion is an equality of ratios: a : b = c : d.
- For a : b = c : d, cross multiplication gives a × d = b × c.
Applications
- Scale recipe quantities for a different number of servings.
- Convert between map distances and real distances.
- Compare financial quantities, such as costs and revenue.
- Mix ingredients in specified proportions.
- Express speed as distance per time and density as mass per volume.
Worked Examples
Equivalent
2 : 3 = 4 : 6 = 6 : 9 (multiply both terms by 2 or 3).
Split
Split 100 in the ratio 2 : 3 to get 40 and 60.