Compare rational recipe ratios with Fraction

Recipe ratios are naturally rational numbers: “three parts concentrate for every eight parts water” is exactly 3/8. fractions.Fraction stores the numerator and denominator and supports ordinary comparison operators. In this example, 3/8 is compared with 2/5; the assertion confirms that the concentrate proportion is smaller because 3/8 is 0.375 while 2/5 is 0.4. The program also confirms that 6/16 is equal to 3/8, then prints the normalized fraction.

Use integer counts when constructing a recipe ratio. This avoids choosing a decimal precision merely to compare proportions. Fraction normalizes finite rational inputs, so equivalent representations compare by their mathematical value. It is especially handy for scaling, reducing, and checking exact proportional relationships.

A fraction does not add units or domain validation. Ratios must describe compatible quantities before they can be compared: a mass-to-water proportion is not automatically comparable with a volume-to-water proportion unless the application has an appropriate conversion rule. It also does not determine recipe taste, safe preparation, or how to round a physical measurement. When a final quantity must be displayed or dispensed at a fixed precision, apply a separately documented conversion and rounding policy.

Fraction belongs to the Python standard library and is available in supported Python 3 releases. Its arithmetic and normalization behavior are documented in the official fractions module documentation.

AI-assistance disclosure: This article was drafted with AI assistance and should be reviewed for the application's rules.

from fractions import Fraction

concentrate_ratio = Fraction(3, 8)
stronger_ratio = Fraction(2, 5)
equivalent_ratio = Fraction(6, 16)

assert concentrate_ratio < stronger_ratio
assert equivalent_ratio == concentrate_ratio
assert concentrate_ratio.numerator == 3
assert concentrate_ratio.denominator == 8

print(f"concentrate={concentrate_ratio}")
concentrate=3/8

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