Fraction module in Python

This module provides support for rational number arithmetic. It allows to create a Fraction instance from integers, floats, numbers, decimals and strings.

Fraction Instances : A Fraction instance can be constructed from a pair of integers, from another rational number, or from a string. Fraction instances are hashable, and should be treated as immutable.

1. class fractions.Fraction(numerator=0, denominator=1) : This requires that numerator and denominator are instances of numbers. Rational and a fraction instance with value = (numerator/denominator) is returned. A zerodivision error is raised if denominator = 0.

   from fractions import Fraction     print Fraction(11, 35) # returns Fraction(11, 35)     print Fraction(10, 18) # returns Fraction(5, 9)    print Fraction() # returns Fraction(0, 1)

   Output :

   
   
   

   11/35
   5/9
   0
   

2. class fractions.Fraction(other_fraction) : This requires that other_fraction is instance of numbers.Rational and a fraction instance with same value is returned.
3. class fractions.Fraction(float) : This requires the float instance and a fraction instance with same value is returned.

   from fractions import Fraction    print Fraction(1.13) # returns Fraction(1272266894732165, 1125899906842624)

   Output :

   1272266894732165/1125899906842624
   

4. class fractions.Fraction(decimal) : This requires the decimal instance and a fraction instance with same value is returned.

   from fractions import Fraction    print Fraction('1.13') # returns Fraction(113, 100)

   Output :

   113/100
   

5. class fractions.Fraction(string) : This requires the string or unicode instance instance and a fraction instance with same value is returned.

   Form for this instance : [sign] numerator [‘/’ denominator]
   Here, sign represents ‘+’ or ‘-’ and numerator and denominator are strings of single digits.

   from fractions import Fraction     print Fraction('8/25') # returns Fraction(8, 25)     print Fraction('1.13') # returns Fraction(113, 100)    print Fraction('3/7') # returns Fraction(3, 7)    print Fraction('1.414213 ') # returns Fraction(1414213, 1000000)

   Output :

   
   
   

   8/25
   113/100
   3/7
   1414213/1000000
   

6. limit_denominator(max_denominator=1000000) :
   • This method is useful for finding rational approximations to a given floating-point number.
   • This module finds and returns the closest Fraction to self that has denominator at most max_denominator.
   • This module can also be used to return the numerator of a given fraction in the lowest term by using the numerator property and the denominator by using the denominator property.

   from fractions import Fraction     print Fraction('3.14159265358979323846') # returns Fraction(157079632679489661923, 50000000000000000000)     print Fraction('3.14159265358979323846').limit_denominator(10000) # returns Fraction(355, 113)     print Fraction('3.14159265358979323846').limit_denominator(100) # returns Fraction(311, 99)     print Fraction('3.14159265358979323846').limit_denominator(10) # returns Fraction(22, 7)     print Fraction(125, 50).numerator # returns 5     print Fraction(125, 50).denominator # returns 2

   Output :

   157079632679489661923/50000000000000000000
   355/113
   311/99
   22/7
   5
   2
   

Performing Mathematical operations on fractions

Output :

2267/900
2
288/95
3/2
2.8592589556

Fraction-based calculations using various functions of math module

Output :

2.5
3.0550504633
2.0
3900231685776981/4503599627370496
6/7

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