Python Program for Addition of two fractions

September 30, 2022

Addition of two fractions

Here, in this page we will discuss program for addition of two fractions in python. For this purpose we need to ask the user to enter two fractional values where each fraction must consist a Numerator and a Denominator.

Addition of two fractions in python

Concept

 For understanding this in a better way lets suppose an example :

 Suppose, First fraction consist of 1 as numerator and 3 as denominator, and Second fraction consist of 3 as numerator and 9 as denominator.

 (1 / 3) + (3 / 9) = (6 / 9) = (2 / 3)

  • Find LCM of 3 and 9 and the result will be 9.
  • Multiply 3 in first fraction : (3 / 9) + (3 / 9)
  • Add both fractions and then the result will be : (6 / 9)
  • Now simplify it by finding the HCF of 6 and 9 and the result will be 3.
  • So divide 6 and 9 by 3 and then the result will be : (2 / 3)
  • This will be your simplified answer for the given problem.

Algorithm

  • Initialize variables of numerator and denominator
  • Take user input of two fraction
  • Find numerator using this condition (n1*d2) +(d1*n2 ) where n1,n2 are numerator and d1 and d2 are denominator
  • Find denominator using this condition (d1*d2) for lcm
  • Calculate GCD of a this new numerator and denominator
  • Display a two value of this condition x / gcd, y/gcd
Addition of two fractions
 
 

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Python code

Run 
def findGCD(n1, n2):
    gcd = 0
    for i in range(1, int(min(n1, n2)) + 1):
        if n1 % i == 0 and n2 % i == 0:
            gcd = i
    return gcd


# input first fraction
num1, den1 = map(int, list(input("Enter numerator and denominator of first number : ").split(" ")))

# input first fraction
num2, den2 = map(int, list(input("Enter numerator and denominator of second number: ").split(" ")))

lcm = (den1 * den2) // findGCD(den1, den2)

sum = (num1 * lcm // den1) + (num2 * lcm // den2)

num3 = sum // findGCD(sum, lcm)

lcm = lcm // findGCD(sum, lcm)

print(num1, "/", den1, " + ", num2, "/", den2, " = ", num3, "/", lcm)

Output

Enter numerator and denominator of first number : 14 10
Enter numerator and denominator of second number: 24 3
14 / 10 + 24 / 3 = 47 / 5

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14 comments on “Python Program for Addition of two fractions”


  • nandan767644

    import math

    a=14
    b=10
    c=24
    d=3

    denamenator = b * d

    numerator = (a*d) + (c*b)

    gcd = math.gcd(numerator, denamenator)
    numerator //=gcd
    denamenator //=gcd

    print(f”the sum is:{numerator}/{denamenator}”)

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