Egyptian Unit Fraction

Egyptian Unit Fraction is a small Node library for finding unit fractions in an Egyptian way. In the Egyptian fraction approach, we can present any positive rational fraction in a sum of distinct unit fractions. For example: 3/11 can be presented in Egyptian fraction and would be equal to: 1/4 + 1/44. For more theoretical information about this interesting approach please refer to "https://en.wikipedia.org/wiki/Egyptian_fraction".

Installation

install with npm:

npm install --save egyptian-unitfraction

API

To find unit fractions for any positive rational fraction, you can call bellow function provided with numerator and denominator of your fraction.

egyptianUnitFraction(numerator,denominator)

The function will return an array of computed fractions. Each item in array will be an object which looks like:

{
    operation: 'describe operation has been done',
    result: { 
		numerator: numerator, 
		denominator: denominator 
	}
}

Usage

const { egyptianUnitFraction } = require('egyptian-unitfraction')

 const fractions = egyptianUnitFraction(4,9)
 fractions.map((fraction) => {
     console.log(`${fraction.result.numerator} /  ${fraction.result.denominator}`)
 })

Please make sure to update tests as appropriate.

License

MIT