Math, Science & Engineering 100% Local Processing Limit: Instant Calculation

Ratio Simplifier & Proportion Solver

Simplify ratios (A:B), solve unknown proportions (A:B = C:X), and divide totals into multi-part ratios.

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Ratio Simplifier (A : B)

:
Simplified Form
16 : 9

Solve Proportion (A / B = C / D)

Leave exactly one field blank or enter '?' to solve for it:

=
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How to Use the Ratio Simplifier & Proportion Solver

  1. 1
    Mode 1 (Simplify): Enter two or three numbers (e.g. 24:36) to reduce them to lowest common terms (e.g. 2:3).
  2. 2
    Mode 2 (Solve Proportion): Enter three known values in $A/B = C/X$ to cross-multiply and solve for $X$.
  3. 3
    Mode 3 (Divide Total): Enter a total dollar or unit amount and a ratio (e.g. $1,000 in 3:5:2) to compute each proportional share.

Practical Example & Use Case

Common Real-World Scenario

Solving an aspect ratio: if a 1920x1080 video is scaled to width 1280, the proportion solver finds the height is 720 (16:9 ratio).

Technical Notes & Limitations

Browser Engine Architecture

Calculates exact fractional and integer GCD reductions.

Frequently Asked Questions

How do you solve a proportion equation?

By cross-multiplying: in $A/B = C/X$, $A \times X = B \times C$, so $X = (B \times C) / A$.