Function Repository Resource:

RatioSimplify

Source Notebook

Simplify a list as if it were a ratio

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["RatioSimplify"][list]

returns a simplification of list as a ratio in terms of integers, symbols and symbolic numbers.

ResourceFunction["RatioSimplify"][list,type]

returns the simplification of list as a ratio of the type type.

Details and Options

ResourceFunction["RatioSimplify"] has the attribute HoldFirst.

ResourceFunction["RatioSimplify"] attempts to convert Real valued inputs to symbolic and Integer numbers.

Input type can be any of "SumNormalizedToOne", "EntriesNormalizedToOne", "PieChart", "LowestTerms" or All.

ResourceFunction["RatioSimplify"][list, All] returns an Association of all properties.

The argument type defaults to "LowestTerms".

Examples

Basic Examples (3)

Simplify a basic ratio:

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Simplify a list with more elements according to the elements’ ratios:

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Return all ratio simplification types as well as a PieChart visualizing the ratio:

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Scope (3)

Simplify a ratio that combines real-valued and exact-valued inputs:

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Return the ratio with the sum of the entries normalized to 1:

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RatioSimplify works with symbolic inputs as well as numeric:

In[7]:=

$ResourceFunction["RatioSimplify"][{2 Pi^2, .5 Pi}]$

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In[8]:=

$ResourceFunction["RatioSimplify"][{2 a^2, .5 a}]$

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Possible Issues (2)

RatioSimplify returns unevaluated if it is unable to produce the specified result type:

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Because RatioSimplify has the HoldFirst attribute, it may not evaluate to an expected result:

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In cases such as this, Evaluate can be used:

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Publisher

Wolfram|Alpha Math Team

Version History

2.0.0 – 23 March 2023
1.0.0 – 01 May 2020

Related Resources

License Information

This work is licensed under a Creative Commons Attribution 4.0 International License