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Fraction Calculator

Add, subtract, multiply, and divide fractions with step-by-step simplification.

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Fraction Arithmetic

How It Works

Adding & Subtracting Fractions

Find the Least Common Denominator (LCD) of both fractions, convert each fraction to have that denominator, then add or subtract the numerators. Simplify the result.

Multiplying Fractions

Multiply the numerators together and the denominators together. Then simplify by dividing both by their Greatest Common Divisor (GCD).

Dividing Fractions

Flip the second fraction (reciprocal) and multiply. "Keep, Change, Flip" — keep the first fraction, change ÷ to ×, flip the second.

Simplifying Fractions

Find the GCD of the numerator and denominator using the Euclidean algorithm, then divide both by it. The result is the fraction in lowest terms.

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