🔢 Math Calculator

📐 How It Works

Converting a decimal to a fraction: place the digits after the decimal point over a power of 10, then simplify using the GCD. For repeating decimals, algebraic manipulation is required.

🔢 Worked Examples

• 0.5 = 1/2
• 0.25 = 1/4
• 0.1 = 1/10
• 0.333… = 1/3
• 0.625 = 5/8

📋 Common Use Cases

• Expressing calculator results as exact fractions
• Architecture and carpentry measurements
• Cooking — converting 0.375 cups to 3/8 cup
• Financial ratios and accounting

💡 Did You Know?

The decimal 0.9999… (nines repeating) equals exactly 1, not approximately 1. Proof: let x = 0.999…, then 10x = 9.999… = 9 + x, so 9x = 9, x = 1.

⚠️ Common Mistake

Not simplifying fully — 0.4 = 4/10 but the final answer should be 2/5 (divide both by GCD 2).