15곱셈에대한계산법칙

from fractions import Fraction

def calculate_operations(values):

    fractions = [Fraction(value) for value in values]

    # 곱셈

    product = 1

    product_explanation = ''

    for i, frac in enumerate(fractions):

        product *= frac

        product_explanation += f'{frac}'

        if i != len(fractions) - 1:

            product_explanation += ' * '

    print(f'입력한 값들의 곱: {product_explanation} = {product}')

    # 교환법칙

    reversed_fractions = fractions[::-1]

    commutative_product = 1

    commutative_explanation = ''

    for i, frac in enumerate(reversed_fractions):

        commutative_product *= frac

        commutative_explanation += f'{frac}'

        if i != len(reversed_fractions) - 1:

            commutative_explanation += ' * '

    print(f'\n교환법칙 적용:')

    print(f'원래 값: {product_explanation} = {product}')

    print(f'교환된 값: {commutative_explanation} = {commutative_product}')

    print(f'교환법칙 적용 결과: {product == commutative_product}')

    # 결합법칙

    split_index = len(fractions) // 2

    first_half = fractions[:split_index]

    second_half = fractions[split_index:]

    first_half_product = 1

    second_half_product = 1

    first_half_explanation = ''

    second_half_explanation = ''

    for i, frac in enumerate(first_half):

        first_half_product *= frac

        first_half_explanation += f'{frac}'

        if i != len(first_half) - 1:

            first_half_explanation += ' * '

    for i, frac in enumerate(second_half):

        second_half_product *= frac

        second_half_explanation += f'{frac}'

        if i != len(second_half) - 1:

            second_half_explanation += ' * '

    combined_product = first_half_product * second_half_product

    print(f'\n결합법칙 적용:')

    print(f'원래 값: ({first_half_explanation}) * ({second_half_explanation}) = {combined_product}')

    print(f'분해된 값: {product_explanation} = {product}')

    print(f'결합법칙 적용 결과: {combined_product == product}')

# 사용자로부터 값 입력 받기

inputs = []

for i in range(8):

    value = input(f"{i + 1}번째 유리수를 입력하세요: ")

    inputs.append(value)

# 계산 및 결과 출력

calculate_operations(inputs)