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A serving of rice is (5/6) of a cup. How many servings are there in a (55/6)-cup bag of rice? Write your answer as a fraction or as a whole or mixed number.

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Final answer:

To determine the number of servings in a (55/6)-cup bag of rice where one serving is (5/6) of a cup, simply divide (55/6) by (5/6), which results in 11 servings.

Step-by-step explanation:

To find out how many servings of rice there are in a (55/6)-cup bag of rice when one serving is (5/6) of a cup, we divide the total amount of rice by the serving size:

Number of servings = Total amount of rice in cups / Serving size in cups

Number of servings = (55/6) / (5/6)

When dividing fractions, we multiply by the reciprocal of the divisor. In this case, the reciprocal of (5/6) is (6/5):

Number of servings = (55/6) * (6/5)

We can simplify this by canceling out the 6's:

Number of servings = 55/5

Now, we divide 55 by 5:

Number of servings = 11

So, there are 11 servings in a (55/6)-cup bag of rice.

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