🔢 Math Calculator

📐 How It Works

Solves ratio and proportion problems — simplifying ratios, scaling them, and finding missing values when two ratios are equal (cross-multiplication).

🔢 Worked Examples

• 3:6 simplifies to 1:2
• 2:3 = 8:12 (scaled by 4)
• If 4:x = 12:15, then x = 5
• Ratio of 4:6 = 66.67% vs 33.33%

📋 Common Use Cases

• Recipe scaling for different servings
• Map reading — 1:50,000 scale
• Mixing solutions and paint colours
• Financial ratios (P/E, debt-to-equity)

💡 Did You Know?

The Golden Ratio φ ≈ 1.618 appears in the Fibonacci sequence, nautilus shells, and classical architecture. It is self-similar: 1 : φ = φ : (φ + 1).

⚠️ Common Mistake

Treating ratios and fractions interchangeably — ratio 3:4 means 3 parts to 4 parts (total 7), while the fraction 3/4 is 3 out of 4 total.