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Precision depends on the precision of the measuring device.

Fluid ounces are a smaller measurement than cups, so a cup with a fluid ounces graduated scale would allow you to measure fractional cups of fluid more accurately than a cup that has only a cups graduated scale.

On the other hand, for a measuring container that has both graduated scales (fluid oz and cups), there is no difference in precision when you measure fluids in whole cup increments because the meniscus (fluid measurement line) would be the same on both scales.

If you want to be much more accurate in your measurements, measure by weight, for example measure using grams. Measuring by weight is better because you can avoid quantity variances that are caused by temperature-volume variations. Temperature affects volume, it does not affect mass.

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