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📊 RATIO & SCALING TOOL
Ratio Calculator 2026 - Scale & Simplify Ratios A:B
Simplify ratios to lowest terms, scale ratios larger or smaller, and split total amounts proportionally.
Figure 1: Ratio simplification workflow.
📋 Table of Contents
⚡ Interactive Ratio Solver
Simplified Ratio:
0 : 0
Decimal Ratio (A ÷ B):
0
2. What is a Mathematical Ratio?
A ratio expresses the relative size of two or more values. For example, if a punch recipe calls for 2 cups of juice and 3 cups of soda, the ratio of juice to soda is 2:3.
3. Ratio Formulas & Scaling Methods
1. Simplified Ratio = (A / GCF) : (B / GCF) 2. Decimal Ratio = A / B 3. Scaled Value = A × Scale Factor
4. Step-by-Step Worked Example
| Original Ratio | Greatest Common Factor | Simplified Output |
|---|---|---|
| 12 : 18 | GCF(12, 18) = 6 | 2 : 3 |
5. Frequently Asked Questions (FAQ)
Q1: How do you scale a ratio for a larger recipe?
Answer: Multiply both numbers in the simplified ratio by your desired scaling factor (e.g. 2:3 scaled by 5 becomes 10:15).
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