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Ratio Simplifier & Proportion Calculator

Ratios compare quantities proportionally. Whether mixing concrete, scaling map scales, or solving algebraic proportions, this calculator reduces ratios and solves unknown values.

Calculated Result
12:18 = 6:9.00

Solved Proportion

Simplified Ratio

2 : 3

Solved Fourth Term (d)

9.00

Decimal Ratio (a ÷ b)

0.6667

Calculation Breakdown

  1. Ratio ReductionDivide both terms by GCD (6): 12 : 18 = 2 : 312 : 18 = 2 : 3
  2. Proportion Solve (a:b = c:d)d = (b × c) ÷ a = (18 × 6) ÷ 12 = 9.00d = \frac{b \cdot c}{a} = 9.00

Proportion Term Values

Interactive visualization based on your current inputs

Value
0.04.59.01418Term ATerm BTermValue

What Is the Ratio Simplifier & Proportion Calculator?

A Ratio Calculator simplifies relationships between numbers.

How Does the Ratio Simplifier & Proportion Calculator Work?

Divides by GCD and cross-multiplies proportions.

Ratio Simplifier & Proportion Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

AB=CD  ⟹  D=B⋅CA\frac{A}{B} = \frac{C}{D} \implies D = \frac{B \cdot C}{A}

Cross-multiplication proportion solving.

How to Use the Ratio Simplifier & Proportion Calculator

  1. Enter Terms A and B, plus optional Term C to solve for D.

Step-by-Step Example Calculation

12 : 18 = 6 : D

Input Values:

a:12
b:18
c:6
Worked Steps: 12:18 simplifies to 2:3. Solved D = 9.

Understanding Your Result

Displays reduced ratio and fourth term.

Factors That Affect the Result

  • Common divisors.

When Should You Use This Calculator?

  • Chemistry mixtures, screen aspect scaling, and business ratios.

Assumptions & Limitations

  • Positive numeric values.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Exact arithmetic.

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