Reduce two bounded whole-number ratio parts and allocate one explicitly entered total with auditable proportions, percentages, and boundaries.
A quick decision brief for this specific tool
Two bounded whole-number ratio parts, at least one positive, plus one positive numeric total to allocate
Integer-GCD reduced ratio, allocated A/B amounts and each part’s percentage of the entered total
Reduces the entered whole parts and partitions only the entered total in that proportion; it does not choose units, quantities, tolerances or rounding
Choose your path
Reduce two bounded whole-number ratio parts and allocate one explicitly entered total in that proportion without choosing units, tolerances or application-specific rounding.
Connect integer GCD reduction with proportional shares of a total.
Enter two whole parts and one total, then inspect reduced ratio, part sum, allocations and percentages.
Can reproduce both allocations and verify they add back to the entered total.
Keep the arithmetic separate from safe ingredients, units and batch rules.
Convert all quantities to compatible units externally, enter the abstract ratio and total, then apply domain rounding outside the tool.
Does not treat a numeric allocation as a recipe, formulation or safety instruction.
Represent 0:n or n:0 without permitting 0:0.
Enter one zero and one positive whole part with a positive total.
Gets a valid zero/full allocation while 0:0 is explicitly rejected.
Outputs and checklists are planning aids. Review the linked current authorities and the records, terms, instructions, and requirements that apply to your exact situation before a consequential decision.
This tool is part of these guided projects. Each project provides step-by-step instructions with checklists and all the tools you need in one place.
Tools you might need next
Add, subtract, multiply, or divide two bounded integer fractions and inspect the exact reduced result, GCD, and rounded decimal display.
Calculate percentages in seven modes with visible formulas, strict input validation, signed percentage change, and symmetric percentage difference.
Strictly parse a finite number series and report arithmetic mean, median, repeated mode, minimum, maximum, range, sum, and exact count.
Both entered parts are bounded whole numbers and at least one must be positive. Dividing both by their integer GCD preserves the proportion.
Reduced ratio = entered A/GCD : entered B/GCDEach allocation multiplies the same total by one part divided by the sum of both parts. Percent shares expose the same denominator.
Allocated A = total × A ÷ (A + B)The tool does not infer units or decide safe mixing, batch constraints, countability, tolerances or rounding. Apply those rules after reviewing the unrounded allocation.
Updated: August 2026
A student reviews an already reduced ratio and verifies both allocations against the same total.
→ 3:4; part A 30; part B 40
A reviewer confirms the integer GCD is 6 and that the proportion becomes 2:3.
→ 2:3; part A 50; part B 75
An operator enters 0:5 and receives zero for A and the full entered total for B, while 0:0 remains invalid.
Convert source quantities to compatible units first; a numerical ratio does not perform or validate unit conversion.
Retain the unrounded allocations, then apply one documented rounding/remainder rule so the final parts still reconcile to the total.
Enter two whole-number ratio parts and one positive total to see the integer-GCD reduction and unrounded proportional allocation.