High School

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Which is the correct equation for converting 6 fl oz to cups?

A) 6 fl oz × 0.125 cups/fl oz

B) 6 fl oz ÷ 0.125 cups/fl oz

C) 6 fl oz × 0.0625 cups/fl oz

D) 6 fl oz ÷ 0.0625 cups/fl oz

Answer :

Final answer:

The correct equation for converting 6 fluid ounces to cups is A) 6 fl oz × 0.125 cups/fl oz, which equals 0.75 cups. The conversion factor is based on the equivalence of 1 cup to 8 fluid ounces.

Explanation:

The correct equation for converting 6 fl oz to cups is to use the unit equivalence, which states that 1 cup is equal to 8 fluid ounces. Therefore, when you are converting from a smaller unit (fluid ounces) to a larger unit (cups), you need to divide the number of fluid ounces by the conversion factor.

6 fl oz × 0.125 cups/fl oz (Choice A) is the correct equation because:
6 fl oz × (1 cup / 8 fl oz) = 6 fl oz × 0.125 cups/fl oz = 0.75 cups

Using this method ensures that the fl oz units cancel out, leaving you with the measurement in cups. The other equations listed involve either incorrect conversion factors or incorrect mathematical operations (multiplication instead of division or vice versa).

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