Some type mixing is allowed in expressions, though Fraction must sometimes be manually propagated to retain accuracy.
from fractions import Fraction x = Fraction(1, 3) # Numerator, denominator print( x ) print( x + 2 ) # Fraction + int -> Fraction print( x + 2.0 ) # Fraction + float -> float print( x + (1./3) ) # Fraction + float -> float print( x + (4./3) ) print( x + Fraction(4, 3) ) # Fraction + Fraction -> Fraction # w w w. jav a2 s . c om
Although you can convert from floating point to fraction, in some cases there is an unavoidable precision loss when you do so.
When needed, you can simplify such results by limiting the maximum denominator value:
from fractions import Fraction print( 4.0 / 3 )# from w w w . ja v a 2 s.c om print( (4.0 / 3).as_integer_ratio() ) # Precision loss from float x = Fraction(1, 3) # Numerator, denominator print( x ) a = x + Fraction(*(4.0 / 3).as_integer_ratio()) print( a ) print( 22123123136852479 / 13510712312312388 ) # 5 / 3 (or close to it!) print( a.limit_denominator(10) ) # Simplify to closest fraction