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.
- 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)
chevron_rightfilter_noneOutput :
11/35 5/9 0
- class fractions.Fraction(other_fraction) : This requires that other_fraction is instance of numbers.Rational and a fraction instance with same value is returned.
- 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)
chevron_rightfilter_noneOutput :
1272266894732165/1125899906842624
- 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)
chevron_rightfilter_noneOutput :
113/100
- 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 \t\n'
))
# returns Fraction(1414213, 1000000)
chevron_rightfilter_noneOutput :
8/25 113/100 3/7 1414213/1000000
- 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
chevron_rightfilter_noneOutput :
157079632679489661923/50000000000000000000 355/113 311/99 22/7 5 2
Performing Mathematical operations on fractions
from fractions import Fraction print (Fraction( 113 , 100 ) + Fraction( 25 , 18 )) # returns Fraction(2267, 900) print (Fraction( 18 , 5 ) / Fraction( 18 , 10 )) # returns Fraction(2, 1) print (Fraction( 18 , 5 ) * Fraction( 16 , 19 )) # returns Fraction(288, 95) print (Fraction( 18 , 5 ) * Fraction( 15 , 36 )) # returns Fraction(3, 2) print (Fraction( 12 , 5 ) * * Fraction( 12 , 10 )) # returns 2.8592589556010197 |
Output :
2267/900 2 288/95 3/2 2.8592589556
Fraction-based calculations using various functions of math module
import math from fractions import Fraction print (math.sqrt(Fraction( 25 , 4 ))) # returns 2.5 print (math.sqrt(Fraction( 28 , 3 ))) # returns 3.0550504633038935 print (math.floor(Fraction( 3558 , 1213 ))) # returns 2 print (Fraction(math.sin(math.pi / 3 ))) # returns Fraction(3900231685776981, 4503599627370496) print (Fraction(math.sin(math.pi / 3 )).limit_denominator( 10 )) # returns Fraction(6, 7) |
Output :
2.5 3.0550504633 2.0 3900231685776981/4503599627370496 6/7
This article is contributed by Aditi Gupta. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
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