# Simplifying Complex Fractions Calculator

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

Page: https://askcalculators.com/calculator/simplifying-complex-fractions-calculator/
Definition: https://askcalculators.com/calculator/simplifying-complex-fractions-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/simplifying-complex-fractions-calculator/schema.json
Version: 1.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/simplifying-complex-fractions-calculator/?a=1&b=2&topOperation=add&c=1&d=3&e=3&f=4&bottomOperation=subtract&g=1&h=4

## Inputs
- a: a; type=number; required; default=1
- b: b; type=number; required; default=2
- topOperation: Top operation; type=select; required; default=add; values=add|subtract
- c: c; type=number; required; default=1
- d: d; type=number; required; default=3
- e: e; type=number; required; default=3
- f: f; type=number; required; default=4
- bottomOperation: Bottom operation; type=select; required; default=subtract; values=add|subtract
- g: g; type=number; required; default=1
- h: h; type=number; required; default=4

## Outputs
- simplified: Simplified result; format=text; primary
- mixedNumber: Mixed number; format=text
- decimal: Decimal value; format=number
- topSimplified: Simplified numerator expression; format=text
- bottomSimplified: Simplified denominator expression; format=text

## Formula
[(a/b) ± (c/d)] ÷ [(e/f) ± (g/h)]

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.