Fractional Numbers
Like we all know, fractional numbers can either be Proper (e.g. 2/5), Improper (e.g. 5/2), or Mixed (e.g. 21/2),
Mixed to Improper Fraction Code in Python
Say we have the fraction 32/5 - which is a mixed fraction; we can convert this fraction to an improper fraction by following a number of steps:
Step 1:
Multiply the whole number (3), by the denominator (5)
⇒ 3 X 5 = 15
Step 2:
Add the result from Step 1 to the numerator (2)
⇒ 15 + 2 = 17
Step 3:
Our obtained improper fraction is our new numerator (17) divided by our denominator (5).
Create a new Python Class File;
call it Algebra.pl.
Create a new Python Module File;
call it MixedToImproper.py.
Type out the adjoining Python code for converting mixed to improper fractions.
So!
Feel free to try out your own whole number, numerator and denominator.
Python code for MixedToImproper Module File
# No doubt this is a module
# A class
class Mixed2Improper:
# A constructor
def __init__(self, fraction):
self.whole_number = fraction['whole_number']
self.numerator = fraction['numerator']
self.denominator = fraction['denominator']
# Returns a scalar of the new numerator
def doConvert(self):
# STEPS 1, 2:
return self.whole_number * self.denominator + self.numerator
# A class
class Mixed2Improper:
# A constructor
def __init__(self, fraction):
self.whole_number = fraction['whole_number']
self.numerator = fraction['numerator']
self.denominator = fraction['denominator']
# Returns a scalar of the new numerator
def doConvert(self):
# STEPS 1, 2:
return self.whole_number * self.denominator + self.numerator
Algebra Main class
#!/usr/bin/python
from MixedToImproper import Mixed2Improper
##
# Convert fractions from Mixed to Improper
##
fraction = {'whole_number':3, 'numerator':1, 'denominator':3}
print(" Converting from Mixed to Improper the fraction:\n")
# Print as fraction
print( '{:55d}'.format(fraction['numerator']))
print('{:53d} {}'.format(fraction['whole_number'], '-'))
print( '{:55d}'.format(fraction['denominator']))
# use the MixedToImproper class
mix2imp = Mixed2Improper(fraction)
fraction['numerator'] = mix2imp.doConvert()
print("\n")
print('{:52d}'.format(fraction['numerator']))
print('{:>52}'.format('Answer = -'))
print('{:52d}'.format(fraction['denominator']))
print("\n\n")
from MixedToImproper import Mixed2Improper
##
# Convert fractions from Mixed to Improper
##
fraction = {'whole_number':3, 'numerator':1, 'denominator':3}
print(" Converting from Mixed to Improper the fraction:\n")
# Print as fraction
print( '{:55d}'.format(fraction['numerator']))
print('{:53d} {}'.format(fraction['whole_number'], '-'))
print( '{:55d}'.format(fraction['denominator']))
# use the MixedToImproper class
mix2imp = Mixed2Improper(fraction)
fraction['numerator'] = mix2imp.doConvert()
print("\n")
print('{:52d}'.format(fraction['numerator']))
print('{:>52}'.format('Answer = -'))
print('{:52d}'.format(fraction['denominator']))
print("\n\n")