Practical tools for measured work
Ratio and golden ratio calculator
Simplify and scale ratios or calculate golden-ratio segments and rectangle sides.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
How it works
Divide both positive integer ratio terms by their greatest common divisor. For 4:6 the simplified ratio is 2:3; scaling the first term to 10 gives a second term of 15. Golden-ratio mode uses φ = (1 + √5)/2, with longer/shorter = total/longer = φ. Use the longer and shorter lengths as the sides of a golden rectangle.
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Ratio mode
- Simplify and scale ratio
- First ratio term
- 4
- Second ratio term
- 6
- Scaled first term
- 10
Primary result: Simplified ratio: 2:3.
Before using the result
- Check the selected mode, units and input values before using the result.
- Read the assumptions and rounding rules; compare the worked example with your intended calculation.
- A numerical result does not supply missing context or change the stated limitations.
Limitations
Ratio terms must be positive whole numbers up to one trillion; the scaled first term must be positive and no greater than one trillion. Golden-ratio lengths use the same unspecified unit and are rounded for display.
Frequently asked questions
Are the displayed decimals exact?
Fractions, combinations and integer multiples use exact integer arithmetic. Other results use floating-point arithmetic and are rounded for display. Keep the exact fraction when a repeating decimal matters.
Related tools
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Convert decimals and mixed numbers to exact fractions and perform fraction arithmetic.
Factor calculator
Find prime factors, positive divisors, greatest common divisor and exact least common multiple.
Logarithm calculator
Calculate a real logarithm with an explicit positive base and argument.
Random number generator
Generate bounded random integers with optional unique results using browser crypto.