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Deep Dive: Navigating Fractions, Decimals & Proportional Math
Fractions represent parts of a whole, made up of a numerator and a denominator. A fraction calculator helps simplify, add, subtract, multiply, and divide fractions, and seamlessly convert them to clean decimals.
🧮 How to Calculate (Step-by-Step Formula)
- To add or subtract: Find the Least Common Denominator (LCD), convert numerators accordingly, add or subtract numerators, and keep the denominator.
- To multiply: Multiply numerators straight across and denominators straight across: (a/b) × (c/d) = (a×c) / (b×d).
- To divide: Multiply the first fraction by the reciprocal of the second: (a/b) ÷ (c/d) = (a/b) × (d/c).
- Simplify the resulting fraction by dividing the numerator and denominator by their Greatest Common Divisor (GCD).
Key Concepts & Terminology Decoded
- Proper vs. Improper Fractions: Proper fractions have a smaller numerator, while improper fractions represent values greater than or equal to one.
- Least Common Denominator (LCD): The smallest shared multiple of denominators, necessary for adding or subtracting fractions.
- Simplifying Fractions: Reducing ratios to their simplest forms by dividing by the Greatest Common Divisor (GCD).
💡To multiply two fractions quickly, simply multiply the numerators straight across and then the denominators straight across, then simplify the final ratio.