Fraction Math in Mathematica

Published on 21 January 2023 (Updated: 21 January 2023)

Welcome to the Fraction Math in Mathematica page! Here, you'll find the source code for this program as well as a description of how the program works.

Current Solution

``````(* Code *)

(* Most the required behavior is already provided by the ToExpression built-in.
It would be easy to simply print these out in a loop; however, in the spirit of
keeping the mathematical operation separate from its presentation I opted to
return the result as a list explicitly: *)

fractionMath = Function[{l, o, r},
ToExpression[(* simply evaluate the string as Mathematica input *)
(* format the three arguments as a single string, parenthesizing the operands for precedence *)
StringTemplate["(``) `` (``)"][l, o, r]]];

(* The outer function provides the 'user interface': *)

fractionMathMain = l \[Function]
Catch[
Replace[{(* output formatting according to literal requirement *)
(* False/True to be shown as 0/1 *)
False -> 0, True -> 1,
(* fractions to be displayed in-line *)
x_Rational :> StringTemplate["``/``"][Numerator[x], Denominator[x]]
}]@*
fractionMath @@
(* check input has no empty strings *)
(If[# != "", #, Throw["Usage: ./fraction-math operand1 operator operand2"]] & /@ l)];

(* Valid Tests *)

Print /@ fractionMathMain /@ {
{"2/3", "+", "4/5"},
{"2/3", "*", "4/5"},
{"2/3", "-", "4/5"},
{"2/3", "/", "4/5"},
{"2/3", "==", "4/5"},
{"2/3", ">", "4/5"},
{"2/3", "<", "4/5"},
{"2/3", ">=", "4/5"},
{"2/3", "<=", "4/5"},
{"2/3", "!=", "4/5"}};

(* Invalid Tests *)

fractionMathMain[{"", "+", "4/5"}]
``````

Fraction Math in Mathematica was written by:

• Ben Hekster

If you see anything you'd like to change or update, please consider contributing.

How to Implement the Solution

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