mirror of
https://github.com/TheAlgorithms/Python.git
synced 2025-03-12 09:39:49 +00:00
e3fb5309da
* Update decimal_to_fraction.py * Update decimal_to_fraction.py --------- Co-authored-by: Maxim Smolskiy <mithridatus@mail.ru>
63 lines
1.9 KiB
Python
63 lines
1.9 KiB
Python
def decimal_to_fraction(decimal: float | str) -> tuple[int, int]:
|
|
"""
|
|
Return a decimal number in its simplest fraction form
|
|
>>> decimal_to_fraction(2)
|
|
(2, 1)
|
|
>>> decimal_to_fraction(89.)
|
|
(89, 1)
|
|
>>> decimal_to_fraction("67")
|
|
(67, 1)
|
|
>>> decimal_to_fraction("45.0")
|
|
(45, 1)
|
|
>>> decimal_to_fraction(1.5)
|
|
(3, 2)
|
|
>>> decimal_to_fraction("6.25")
|
|
(25, 4)
|
|
>>> decimal_to_fraction("78td")
|
|
Traceback (most recent call last):
|
|
ValueError: Please enter a valid number
|
|
>>> decimal_to_fraction(0)
|
|
(0, 1)
|
|
>>> decimal_to_fraction(-2.5)
|
|
(-5, 2)
|
|
>>> decimal_to_fraction(0.125)
|
|
(1, 8)
|
|
>>> decimal_to_fraction(1000000.25)
|
|
(4000001, 4)
|
|
>>> decimal_to_fraction(1.3333)
|
|
(13333, 10000)
|
|
>>> decimal_to_fraction("1.23e2")
|
|
(123, 1)
|
|
>>> decimal_to_fraction("0.500")
|
|
(1, 2)
|
|
"""
|
|
try:
|
|
decimal = float(decimal)
|
|
except ValueError:
|
|
raise ValueError("Please enter a valid number")
|
|
fractional_part = decimal - int(decimal)
|
|
if fractional_part == 0:
|
|
return int(decimal), 1
|
|
else:
|
|
number_of_frac_digits = len(str(decimal).split(".")[1])
|
|
numerator = int(decimal * (10**number_of_frac_digits))
|
|
denominator = 10**number_of_frac_digits
|
|
divisor, dividend = denominator, numerator
|
|
while True:
|
|
remainder = dividend % divisor
|
|
if remainder == 0:
|
|
break
|
|
dividend, divisor = divisor, remainder
|
|
numerator, denominator = numerator // divisor, denominator // divisor
|
|
return numerator, denominator
|
|
|
|
|
|
if __name__ == "__main__":
|
|
print(f"{decimal_to_fraction(2) = }")
|
|
print(f"{decimal_to_fraction(89.0) = }")
|
|
print(f"{decimal_to_fraction('67') = }")
|
|
print(f"{decimal_to_fraction('45.0') = }")
|
|
print(f"{decimal_to_fraction(1.5) = }")
|
|
print(f"{decimal_to_fraction('6.25') = }")
|
|
print(f"{decimal_to_fraction('78td') = }")
|