Ratios and proportions
Simplify ratios, solve a proportion or distribute a total across several shares. Drag the graph handles to change inputs and explore the result.
Your inputs
The editable example is illustrative. Enter your own dimensions, operating data, prices, and fees. Results update as you edit.
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How it works
- : → ( ÷ GCD):( ÷ GCD); : = :x ⇒ x = /; Quantity = × aᵢ ÷ Σ
- Worked example: 12:18 = 2:3; 2:3 = 8:12; 100 × (2,3) ÷ 5 = (40,60)
- Supported input limits: : n ≤ 808; : 0 ≤ x ≤ 1,000,000,000,000; : 0 ≤ x ≤ 1,000,000,000,000; : 0 ≤ x ≤ 1,000,000,000,000; : 0 ≤ x ≤ 1,000,000,000,000
Input and formula key
Your result
Complete the inputs to see your result.
Assumptions and limitations
Simplify or distribute a total across 2–8 nonnegative integer terms separated by colons. Distribution preserves proportions and may yield fractional amounts. Proportion mode solves A:B = C:x; A must be nonzero.
Sources
- OpenStax — fraction arithmetic Sources reviewed: 2026-10-06
