Reference formulas and worked examples below keep their stated units. Monetary examples use USD; dimensional examples use US customary units unless labeled otherwise. Metric calculator inputs are converted to these reference units before calculation. Choosing another currency does not convert example amounts or exchange money.
How to use this ratio calculator
Simplify a ratio and scale it to a new second quantity. Use exact whole-number ratios for recipes, dimensions, and comparisons.
How the calculation works
Simplify A:B by dividing both whole numbers by their greatest common divisor.
Scaled first quantity = new second quantity × A ÷ B.
A’s share of the combined total is A ÷ (A + B) × 100. This differs from A as a percent of B.
Worked example
16:9 is already simplified. With a second quantity of 1,080, the matching first quantity is 1,920.
Limits and assumptions
Simplification accepts whole numbers from 0 to 1 billion, with B greater than zero. The scaled result can be a decimal.
Frequently asked questions
How can I simplify decimal ratios?
Multiply both sides by the same power of ten first, such as 1.5:2 becoming 15:20.
Can A be zero?
Yes. 0:B simplifies to 0:1 when B is positive.
Does this preserve an aspect ratio?
Yes. Enter width as A and height as B to scale to a new height.