Default `alwaysReduce` to true to avoid data corruption.

[LarryBattle]

Default alwaysReduce to true to avoid data corruption.

[LarryBattle]

I'm not if reduce should be set to true as a default since there is a significant performance penalty... More testing will need to be done.

[LarryBattle]

There needs to be a condition that prevents using the simplified fraction if it turns out to be longer than the original. Test Case:

var checkRatioSimplify = function (min, max) {
    var badValues = [],
    expect,
    output;

    if (max <= min) {
        throw new Error("Min is too high");
    }
    for (var i = min, len = max; i < len; i++) {
        expect = "1/" + i;
        output = Ratio.parse(1, i).simplify().toString();
        if (expect !== output) {
            badValues.push([expect, output]);
        }
    }
    return badValues;
};
test("test if simplify() returns shortest fraction", function(){
    var x = checkRatioSimplify(1,1e3);
    deepEqual( [], x);
};

[LarryBattle]

Here's a better test.

var checkRatioSimplify = function (min, max, fn, includeValues) {
    var badValues = includeValues ? [] : 0,
    x = [],
    expect,
    output;

    if (max <= min) {
        throw new Error("Min is too high");
    }
    for (var i = min, len = max; i < len; i++) {
        expect = "1/" + i;
        x = fn(1 / i);
        output = x ? x[0] + "/" + x[1] : "null";

        if (expect !== output) {
            if (includeValues) {
                var a = 1 / i,
                b = x[0] / x[1];
                badValues.push([expect, output, a, b, (a == b) ? "Same" : "Diff"]);
            } else {
                badValues++;
            }
        }
    }
    return badValues;
};
var runTest = function (name, min, max, fn, includeValues) {
    console.time(name);
    var x = checkRatioSimplify(min, max, fn, includeValues);
    console.timeEnd(name);
    var amountTested = (max - min);
    var amount = includeValues ? x.length : x;
    var errRate = (100 * (amount / amountTested)).toFixed(2);
    console.log("%s: Error rate = %s%, [%s, %s] has %s different fractions.", name, errRate, min, max, x);
    if (includeValues) {
        console.log(JSON.stringify(x, null, 2));
    }
};

var MIN = 1,
MAX = 1e4;
runTest("Ratio.getApprox()", MIN, MAX, function (d) {
    return Ratio.getApprox(d);
});
runTest("Ratio.simplify()", MIN, MAX, function (d) {
    return Ratio.simplify(d);
});
console.log("done");