If S is the sum of the reciprocals of the 10 consecutive integers from 21 to 30, then S is between which of the following two fractions?
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A$$\frac{1}{3} and \frac{1}{2}$$
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B$$\frac{1}{4} and \frac{1}{3}$$
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C$$\frac{1}{5} and \frac{1}{4}$$
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D$$\frac{1}{6} and \frac{1}{5}$$
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E$$\frac{1}{7} and \frac{1}{6}$$