A science experiment calls for mixing 3 and 2 thirds cups of distilled water with 1 and 3 fourths cups of vinegar and 2 thirds cups of liquid detergent. How much liquid in all, in cups, is needed?

Add the three amounts: 3 2/3 + 1 3/4 + 2/3 cups. The fractions 2/3 + 2/3 make 1 1/3, so the total is 3 + 1 + 1 + 1/3 + 3/4 = 5 + 13/12 = 6 1/12 cups. The correct choice is D, 6 and 1/12 cups.

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