The Fraction of Math(in TypeScript)

gistfile1.js

/**
 * The Fraction of Math
 * written by k.kanryu@gmail.com
 * MIT or 2-BSD Licensed.
 */
class Fraction {
    constructor(public numerator: number,
                public denominator: number)
    {
        this.euclid();
    }
    public real() { return this.numerator/this.denominator; }
    public toString() { return String(this.numerator)+"/"+String(this.denominator); }
    private euclid() {
        this.euclid2(this.numerator, this.denominator);
    }
    private euclid2(a: number, b: number) {
        var c,d: number;
        if(a < b) {
            c = b; d = a;
        } else {
            var c = a % b;
            if(c == 0) {
                this.numerator /= b;
                this.denominator /= b;
                return;
            }
            if(c == 1) return;
            d = b;
        }
        this.euclid2(c, d);
    }
    // 1/2 * 1/3 -> 1/6
    public static mul(lhs: Fraction, rhs: Fraction): Fraction;
    public static mul(lhs: Fraction, rhs: number): Fraction;
    public static mul(lhs: number, rhs: Fraction): Fraction;
    public static mul(lhs: any, rhs: any): Fraction {
        var llhs = typeof lhs == "number" ? new Fraction(lhs, 1) : lhs;
        var rrhs = typeof rhs == "number" ? new Fraction(rhs, 1) : rhs;
        var result = new Fraction(llhs.numerator * rrhs.numerator, llhs.denominator * rrhs.denominator);
        return result;
    }
    // (1/2) / (1/3) -> 3/2
    public static div(lhs: Fraction, rhs: Fraction): Fraction;
    public static div(lhs: Fraction, rhs: number): Fraction;
    public static div(lhs: number, rhs: Fraction): Fraction;
    public static div(lhs: any, rhs: any): Fraction {
        var llhs = typeof lhs == "number" ? new Fraction(lhs, 1) : lhs;
        var rrhs = typeof rhs == "number" ? new Fraction(rhs, 1) : rhs;
        var result = new Fraction(llhs.numerator * rrhs.denominator, llhs.denominator * rrhs.numerator);
        return result;
    }
    // 1/2 + 1/3 -> 5/6
    public static add(lhs: Fraction, rhs: Fraction): Fraction;
    public static add(lhs: Fraction, rhs: number): Fraction;
    public static add(lhs: number, rhs: Fraction): Fraction;
    public static add(lhs: any, rhs: any): Fraction {
        var llhs = typeof lhs == "number" ? new Fraction(lhs, 1) : lhs;
        var rrhs = typeof rhs == "number" ? new Fraction(rhs, 1) : rhs;
        var result = new Fraction(
            llhs.numerator*rrhs.denominator + llhs.denominator*rrhs.numerator,
            llhs.denominator * rrhs.denominator);
        return result;
    }
    // 1/2 - 1/3 -> 1/6
    public static sub(lhs: Fraction, rhs: Fraction): Fraction;
    public static sub(lhs: Fraction, rhs: number): Fraction;
    public static sub(lhs: number, rhs: Fraction): Fraction;
    public static sub(lhs: any, rhs: any): Fraction {
        var llhs = typeof lhs == "number" ? new Fraction(lhs, 1) : lhs;
        var rrhs = typeof rhs == "number" ? new Fraction(rhs, 1) : rhs;
        var result = new Fraction(
            llhs.numerator*rrhs.denominator - llhs.denominator*rrhs.numerator,
            llhs.denominator * rrhs.denominator);
        return result;
    }
}

var f = new Fraction(3, 4);
console.log(f.real());

var f2 = new Fraction(8, 12);
//f2.euclid();
console.log("euclid", f2.toString());
var f3 = Fraction.mul(f, f2);
console.log("mul", f3.toString());
var f4 = Fraction.mul(f, 5);
console.log("mul", f4.toString());
var f5 = Fraction.div(f, f2);
console.log("div", f5.toString());
var f6 = Fraction.add(f, f2);
console.log("add", f6.toString());
//[output]
//0.75
//euclid 2/3
//mul 1/2
//mul 15/4
//div 9/8
//add 17/12