ShadTools

Fraction Calculator

Add, subtract, multiply, and divide fractions with simplified fraction, mixed number, and decimal outputs.

Simplified fraction result
5/6
0.833333decimal value

Perform addition, subtraction, multiplication, and division on fractions with automatic simplification and mixed number output.

Formulas & Method

  • Addition: (a/b) + (c/d) = (a×d + b×c) / (b×d)
  • Subtraction: (a/b) - (c/d) = (a×d - b×c) / (b×d)
  • Multiplication: (a/b) × (c/d) = (a×c) / (b×d)
  • Division: (a/b) ÷ (c/d) = (a×d) / (b×c)

Worked Example

  • (1/2) + (1/3) = (3 + 2) / 6 = 5/6 ≈ 0.8333
  • Improper 5/4 = Mixed Number 1 1/4

Frequently Asked Questions

How do you add or subtract fractions?+

Find a common denominator, convert numerators, add or subtract the numerators, and simplify the fraction using the greatest common divisor (GCD).

How do you multiply fractions?+

Multiply numerator by numerator and denominator by denominator, then simplify the result.

How do you divide fractions?+

Multiply the first fraction by the reciprocal (flipped version) of the second fraction.

What is a mixed fraction?+

A mixed fraction (or mixed number) combines a whole number and a proper fraction (for example, 1 1/2). The calculator automatically displays results as improper fractions, simplified fractions, and mixed numbers.

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