Reduce a fraction to its simplest form by using JavaScript

0 0 1 minute read

A fraction is simplified if there are no common factors (except 1) between the numerator and the denominator. For example, 4/6 is not simplified, since 4 and 6 both share 2 as a factor. If improper fractions can be transformed into integers. There are two possible ways to simplify the fraction by using JavaScript.

Using math.js simplify() Function
Using JavaScript _.reduce() Function

The below examples will illustrate the approach:

Using math.js simplify() function: In this function, few rules are applied to the expression, you can create your own custom-made rules. Basically, this function is like a lambda function. Where you can make the rules according to your requirements

Program:

javaScript

// main function 
function simplify(str) { 
    var result = '', data = str.split('/'), 
        numOne = Number(data[0]), 
        numTwo = Number(data[1]); 
    for (var i = Math.max(numOne, numTwo); i > 1; i--) { 
    if ((numOne % i == 0) && (numTwo % i == 0)) { 
        numOne /= i; 
        numTwo /= i; 
    } 
    } 
    if (numTwo === 1) { 
    result = numOne.toString() 
    } else { 
    result = numOne.toString() + '/' + numTwo.toString() 
    } 
    return result 
} 
console.log(simplify("4/6")); 
  
console.log(simplify(84810,985612));

Output:

2/3
42405/492806

Using JavaScript _.reduce() function: The _.reduce() is an inbuilt function in JavaScript which is used to transform an array’s / object’s properties into one single value or is used to create a single result from a given list of values. When all the elements of the list are passed to the function/iterate and no more elements remain then the _.each loop ends. Here we will find the GCD of those numbers and dividing it by GCD we can make the output simpler.

Program:

Javascript

// Simplified fraction by finding the GCD and dividing by it. 
function reduce(number,denomin){ 
var gcd = function gcd(a,b){ 
    return b ? gcd(b, a%b) : a; 
}; 
gcd = gcd(number,denomin); 
return [number/gcd, denomin/gcd]; 
} 
  
console.log(reduce(15,20)); 
  
console.log(reduce(84810,985612));

Output:

3,4
42405,492806

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