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)
Output :
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)
Output :
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)
Output :
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 '
)
# returns Fraction(1414213, 1000000)
Output :
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
Output :
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
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
This article is attributed to GeeksforGeeks.org
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- class fractions.Fraction(string) : This requires the string or unicode instance instance and a fraction instance with same value is returned.
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