Fraction Math in Mathematica

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

No 'How to Implement the Solution' section available. Please consider contributing.

How to Run the Solution

No 'How to Run the Solution' section available. Please consider contributing.