easyfracs

easyfracs helps you to handle and perform operations on rational numbers (fractions) easily and efficiently by representing them as strings.

Usage

const fracs = require("easyfracs");

Acceptable Input Forms

Fractions must be represented like one of the following examples:

let acceptableFractionForms = [-1.5, 1.5, '-1 1/2', '1 1/2', '3/2', '-3/2'];

Integers are also accepted.

DO NOT put a space between the minus sign and the fraction, e.g:

let bad = '- 1 1/2'; // this will cause errors

Arithmetic Operations

Add

fracs.add('2/5','5/7'); // '1 4/35'

Subtract

fracs.subtract('2/5','5/7'); // '-11/35'

Multiply

fracs.multiply(0.4,'5/7'); // '2/7' 

Divide

fracs.divide('2/5','5/7'); // '14/25'

Power

fracs.power('2/5','5/7'); // raise 2/5 to the power of 5/7

because the result of this expression is not a rational number, an approximation is returned:

0.5197052890437639

another example:

fracs.power('2/5', 2); // raise 2/5 to the power of 2

this time, the result of the expression can be represented as a fraction so it is returned:

'4/25'

Square Root

fracs.sqrt('4/25'); // '2/5'

this is shorthand for:

fracs.power('4/25',0.5);

and as such, if the result is irrational, an approximation is returned.

Equality & Comparison

Equals

checks if two fractions are equal

fracs.isEqual('1/2',0.5); // true
fracs.isEqual('1/2','1/2'); // true
fracs.isEqual(2,'200/100'); // true
fracs.isEqual('1/2','2/3'); // false

Bigger

returns the bigger fraction

fracs.bigger('23/45','57/110'); // 57/110
fracs.bigger('23/45','-57/110'); // 23/45
fracs.bigger('23/45','23/45'); // 23/45

Smaller

returns the smaller fraction

fracs.smaller('23/45','57/110'); // 23/45
fracs.smaller('23/45','-57/110'); // -57/110
fracs.smaller('23/45','23/45'); // 23/45

Other

Percentage

returns the fraction as a percentage

fracs.asPercentage('5/8'); // '62 1/2'

A second, boolean argument can be passed to tell the function wether or not a percentage sign should be appended as a suffix, like so:

fracs.asPercentage('5/8',true); // '62 1/2%'

DO NOT pass a fraction with a percentage sign suffix to any other easyfracs function.

Pi Radians to Degrees

the following call will return 0.25*pi radians in degrees:

fracs.piRadiansToDegrees('1/4'); // 45

Similarly to asPercentage(), passing true as a second argument will tell the function to append a degree symbol as a suffix, like so:

fracs.piRadiansToDegrees('1/4',true); // '45°'

DO NOT pass a fraction with a degrees sign suffix to any other easyfracs function.

Absolute

Similar to Math.abs(), returns the distance of the fraction from 0 on the Number Line:

fracs.absolute('-23 56/78'); //returns '23 56/78'
fracs.absolute('23 56/78'); //returns '23 56/78'

All Forms

returns an array with all possible forms of notation for the input fraction

fracs.allForms('12'); // [12]
fracs.allForms('1/3'); // [ 0.3333333333333333, '1/3' ]
fracs.allForms(0.4); // [ 0.4, '2/5' ]
fracs.allForms(-13.4); // [ -13.4, '-67/5', '-13 2/5' ]
fracs.allForms('17/2'); // [ 8.5, '17/2', '8 1/2' ]

MathML

Special tags that allow mathematical formulas and notations to be written on web pages.

Currently only supported in Firefox and Safari. (caniuse)

the call

fracs.toMathML('1/4');

returns markup that when injected into a HTML element results in a properly rendered fraction on supported browsers.

it is also possible to convert MathML back to a string representation of a fraction like so:

let markup = fracs.toMathML('1/4'); // stores the markup string in a variable
fracs.fromMathML(markup); // '1/4';

it's recommended to avoid using fromMathML() if possible.

both toMathML() and fromMathML() can only accept a single fraction as a parameter!