Dividing Fractions in Python

Method of Dividing Fractions

Division is the inverse operation of multiplication; That is exactly what we'll do with for fractions.
Invert the fractions that come after a division sign, as well change the division sign to multiplication, and then follow through with multiplication.

Algorithm Steps to Divide Fractions in Python

Say we are to simplify
²¹/₈ ÷ ⁷/₂;

Inverting this will yield
²¹/₈ ÷ ⁷/₂;

Then we can go ahead and multiply.

Create a new module file; Call it DivideFraction.pm.
Type out the adjoining Python code for dividing fractions.

Note: You can comment out the MultiplyFraction Python object code in the main class from the previous lesson or simply continue from where it stopped.

So!

Feel free to try out your own set of numerators and denominators for fractional division.

Python code for DivideFraction Module File

from MultiplyFraction import TimesFraction

# A class with a parent
class DivFraction(TimesFraction):

    # A constructor
    def __init__(self, fractions):
        super().__init__(fractions)

    # Returns a dictionary of the new fraction
    def doDivide(self):
        # Invert every other fraction but the first
        for count in range(1, len(self.numerators)):
            self.temp = self.numerators[count]
            self.numerators[count] = self.denominators[count]
            self.denominators[count] = self.temp

        return self.doMultiply()

Main Class

#!/usr/bin/python
from DivideFraction import DivFraction

##
# Dividing fractions
##
numerators   = [16, 9, 640, 7]
denominators = [9, 20, 27, 20]
fractions = {'numerators':numerators, 'denominators':denominators}

print('\n    Solving:\n')
# Print as fraction
for numerator in fractions['numerators']: print('{:13d}'.format(numerator), end='')
print('{}{:>12}'.format('\n', ' '), end='')
for wasted in range(len(numerators)-1): print('{}'.format('-     /      '), end='')
print('{:>1}'.format('-'))
for denominator in fractions['denominators']: print('{:13d}'.format(denominator), end='')
print('\n\n')

# use the DivideFraction class
div_fract = DivFraction(fractions)
fraction = div_fract.doDivide()

print('{:25d}'.format(fraction['numerator']))
print('{:>25}'.format('Answer   =   -'))
print('{:25d}'.format(fraction['denominator']))

print('\n\n')

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