# Reduce Fractions in Python

Fariba Laiq Oct 10, 2023

Python has functionality for arithmetic with rational numbers. It enables the creation of fraction instances from strings, numbers, decimals, floats, and integers.

A pair of integers, another rational number, a text, or a fraction can all be used to create a fraction instance. Since fraction instances can be hashed, they should be regarded as immutable.

## Python Fractions

The Python `Fraction` module provides arithmetic with rational numbers. With the help of this module, we may convert strings and other numeric variables, such as integers, floats, and decimals, into fractions.

The idea of a fraction instance exists. It is made up of two numbers acting as the numerator and denominator.

Undoubtedly, the `Fraction` module is one of the least used parts of the Python standard library. Although it may not be widely recognized, it is a helpful tool since it can assist in fixing issues with binary floating-point arithmetic.

It is crucial if you intend to work with financial data or if your computations call for infinite precision.

### Create Fractions in Python

You must import the `Fraction` module from the `fractions` library to create fractions in Python.

The fraction will change the decimal value `0.5` into `1/2`. Likewise, `(21, 60)` will change into `7/20`, and the last fraction `(0, 10)` will give a `0` output as the numerator is 0.

Example Code:

``````from fractions import Fraction

print(Fraction(0.5))
print(Fraction(21, 60))
print(Fraction(0, 10))
``````

Output:

``````1/2
7/20
0
``````

## Reduce Fractions in Python

In the following example, we have reduced a fraction by simple steps.

First, we have defined a function `GCD` (Greatest Common Divisor) and declared two integers n and m. Then set `d` (denominator) to a minimum of `m` and `n`.

We use a `while` loop to find the greatest common divisor. Then, we have defined another function, `reduce()`, which returns the reduced fraction’s numerator and denominator.

The `num` (fraction numerator) must be a non-zero integer. The reduced fraction is 0 if the num is 0; else, we find the greatest common divisor by calling the function.

We calculate the result by dividing the `num` and `den` by the GCD.

Example Code:

``````def GCD(n, m):
d = min(n, m)
while n % d != 0 or m % d != 0:
d = d - 1
return d

def reduce(num, den):
if num == 0:
return (0, 1)
G = GCD(num, den)
return (num // G, den // G)

num = 3
den = 27
(n, d) = reduce(num, den)
print("The fraction", num, "/", den, "is reduced to", n, "/", d)
``````

Output:

``````The fraction 3 / 27 is reduced to 1 / 9
``````
Author: Fariba Laiq

I am Fariba Laiq from Pakistan. An android app developer, technical content writer, and coding instructor. Writing has always been one of my passions. I love to learn, implement and convey my knowledge to others.