Math & StatisticsFormula-based · Runs in your browser

Simplifying Complex Fractions Calculator

Simplify a complex fraction whose numerator and denominator each contain a sum or difference of two fractions.

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Inputs

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Result

Updates as valid inputs change.

Calculated locally
Simplified result
Mixed number
Decimal value
Simplified numerator expression
Simplified denominator expression

Saved locally, explained clearly

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Calculation steps

Follow what happened from the selected formula to the displayed answer.

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    [(a/b) ± (c/d)] ÷ [(e/f) ± (g/h)]

  2. 2

    Values entered

    Your values are placed into the calculation.

    Enter values to see what is used in this step.

  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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What this calculator does

Simplify a complex fraction whose numerator and denominator each contain a sum or difference of two fractions.

How it works

The calculator evaluates [(a/b) ± (c/d)] ÷ [(e/f) ± (g/h)]. Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

10
  • ?a= a

    Number · Required · Default: 1

  • ?b= b

    Number · Required · Default: 2

  • ?topOperation= Top operation

    Choice · Required · Default: add · Accepted values: add, subtract

  • ?c= c

    Number · Required · Default: 1

  • ?d= d

    Number · Required · Default: 3

  • ?e= e

    Number · Required · Default: 3

  • ?f= f

    Number · Required · Default: 4

  • ?bottomOperation= Bottom operation

    Choice · Required · Default: subtract · Accepted values: add, subtract

  • ?g= g

    Number · Required · Default: 1

  • ?h= h

    Number · Required · Default: 4

Outputs

5
  • simplified Simplified result

    Text · Primary output

  • mixedNumber Mixed number

    Text

  • decimal Decimal value

    Number

  • topSimplified Simplified numerator expression

    Text

  • bottomSimplified Simplified denominator expression

    Text

Inputs and results

The inputs are a, b, Top operation, c, d, e, f, Bottom operation, g, h. Results include Simplified result, Mixed number, Decimal value, Simplified numerator expression, Simplified denominator expression.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Results depend on the selected method and input assumptions. Displayed decimals may be rounded; retain appropriate precision for later calculations.