Fraction Calculator

Add, subtract, multiply, or divide two fractions and simplify the result.

Scratchpad (not saved)

What This Calculator Does

Add, subtract, multiply, or divide two fractions and simplify the result.

It combines Fraction A Numerator, Fraction A Denominator, Operation, Fraction B Numerator to estimate Simplified Result, Decimal.

Formula & Method

Core equations: Add/subtract via common denominator: \frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}; multiply/divide standard rules.

Notation used in the formulas: R = Simplified Result; x_{1} = Fraction A Numerator; x_{2} = Fraction A Denominator; x_{3} = Operation; x_{4} = Fraction B Numerator; x_{5} = Fraction B Denominator.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.

Inputs Used

  • Fraction A Numerator: Used directly in the calculation.
  • Fraction A Denominator: Used directly in the calculation.
  • Operation: Used directly in the calculation.
  • Fraction B Numerator: Used directly in the calculation.
  • Fraction B Denominator: Used directly in the calculation.

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