Question

Project: Proper Fractions, Improper Fractions, and Mixed Fractions

Problem Description

Proper fractions, improper fractions, and mixed fractions are defined at http://www.ltcconline.net/greenl/courses/187/b/impropermixed.htm. Write a program that prompts the user to enter the numerator and denominator of a fraction number and determines whether it is a proper fraction and improper fraction. For an improper fraction number, display its mixed fraction in the form of a + b / c if b % c is not zero; otherwise, display only the integer.

Here are sample runs of the program

Sample 1

Enter a numerator: 16

Enter a denominator: 3

16 / 3 is an improper fraction and its mixed fraction is 5 + 1 / 3.

Sample 2

Enter a numerator: 6

Enter a denominator: 7

6 / 7 is a proper fraction

Sample 3

Enter a numerator: 6

Enter a denominator: 2

6 / 2 is an improper fraction and it can be reduced to 3

Answer 1

Solution:

Here is the code for the above requirement in Python 3 programming language:

if __name__ == "__main__":
  
# Take inputs from user
  
numerator = int(input("Enter a numerator: "))
denominator = int(input("Enter a denominator: "))
  
# To avoid the divide by 0 error
  
if denominator == 0:
print('Denominator cannot be 0')
  
# 0 divided by any number is 0
  
elif numerator == 0:
print('0/{} is a proper fraction with value 0'.format(denominator))
  
else:
  
if numerator == denominator:
print('{}/{} is a proper fraction with value 1'.format(numerator,denominator))
  
elif numerator < denominator:
print('{}/{} is a proper fraction'.format(numerator,denominator))
  
else:
  
# divmod() is an in-built function which takes input in the form of numerator and denominator and returns the quotient and remainder
  
quotient,remainder = divmod(numerator,denominator)
  
if remainder == 0:
print('{}/{} is an improper fraction and it can be reduced to {}'.format(numerator,denominator,quotient))
  
else:
print('{}/{} is an improper fraction and its mixed fraction is {} +{}/{}'.format(numerator,denominator,quotient,remainder,denominator))