Calculadora de Fracciones

from fractions import Fraction
import math

# Python's built-in Fraction class handles exact rational arithmetic
a = Fraction(1, 3)    # 1/3
b = Fraction(1, 4)    # 1/4

print(a + b)   # 7/12
print(a - b)   # 1/12
print(a * b)   # 1/12
print(a / b)   # 4/3

# Auto-simplification
print(Fraction(8, 12))   # 2/3 (auto-simplified)
print(Fraction(6, 4))    # 3/2

# Mixed numbers
mixed = Fraction(2) + Fraction(3, 4)  # 2 + 3/4
print(mixed)   # 11/4
print(int(mixed), mixed - int(mixed))  # 2  3/4

# Manual implementation
def gcd(a, b):
    return math.gcd(abs(a), abs(b))

def lcm(a, b):
    return abs(a * b) // math.gcd(a, b)

def add_fractions(n1, d1, n2, d2):
    common = lcm(d1, d2)
    result_n = n1 * (common // d1) + n2 * (common // d2)
    g = gcd(result_n, common)
    return result_n // g, common // g

print(add_fractions(1, 3, 1, 4))  # (7, 12)

# Comparing fractions
f1 = Fraction(3, 7)
f2 = Fraction(2, 5)
print(f1 > f2)   # True (3/7 > 2/5 since 15 > 14)