We have a design that indicate the user about the measurement of food ingredients
- 1.5 cup
- 0.5 cup
Is it right to use it as above or replace it with
- 1 cup and half
- A half of cup
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This will partly depend how you expect your recipes to be used. Are we talking about a recipe book? An app? A smart speaker skill?
In general I would probably avoid decimals -- when you're in the heat of the kitchen, the decimal point/period/comma is relatively easy to miss (especially if it has a speck of flour or a splash of sauce covering it up!), which could easily ruin your recipe. For this reason, it's fairly uncommon to see decimals in recipe books, at least the ones I have.
On the other hand, numbers are still easier to read at a glance than wordy sentences, so I kind of agree with @Nash that fractions might be the best option. Even if the small numerator/denominator are harder to read from a distance, it's immediately obvious at a glance that the required measurement is "one whole number plus a bit extra".