Ratio Calculator

Simplify ratios, find equivalents, and solve proportions

Formula

Simplify: divide by GCD. Equivalent: multiply both by k. Proportion: A/B = C/D → AD = BC

Ratios express relationships between quantities. Simplification finds the simplest form. Proportions state two ratios are equal.

How to Calculate Manually

1
Select calculation mode
2
Enter ratio values
3
For equivalent: enter multiplier
4
For proportion: enter 3 known values, 0 for unknown
5
For compare: enter both ratios
6
Calculator simplifies, finds equivalents, solves, or compares

Reference Table

Ratio	Simplified	As Fraction	As Decimal	As Percent
4:6	2:3	2/3	0.667	66.7%
15:25	3:5	3/5	0.6	60%
8:12	2:3	2/3	0.667	66.7%
100:250	2:5	2/5	0.4	40%

Ratio Calculator: Understanding Ratios and Proportions

Ratios are everywhere - from cooking recipes and map scales to financial analysis and scientific formulas. Understanding how to work with ratios, simplify them, and solve proportions is a fundamental math skill...

Frequently Asked Questions

How do I simplify a ratio? Divide both parts by their greatest common divisor. For A:B, find GCD(A,B) and divide both by it.: Divide both parts by their greatest common divisor. For A:B, find GCD(A,B) and divide both by it.
What are equivalent ratios? Ratios that express the same relationship. 2:3 is equivalent to 4:6, 6:9, 20:30, etc. Multiply or divide both parts by the same number.: Ratios that express the same relationship. 2:3 is equivalent to 4:6, 6:9, 20:30, etc. Multiply or divide both parts by the same number.
How do I solve for a missing value in a proportion? For A:B = C:D with one unknown, cross-multiply: A×D = B×C, then solve for the unknown.: For A:B = C:D with one unknown, cross-multiply: A×D = B×C, then solve for the unknown.

Calculator

Formula

Formula

How to Calculate Manually

Reference Table

Ratio Calculator: Understanding Ratios and Proportions

Frequently Asked Questions

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