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Which fraction is the reciprocal of 5 2/3?
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A. 2/15


B. 3/17


C. 17/3


D. 13/2



Answer :

B. 

Okay, so the fraction 5 [tex]\frac{2}{3} [/tex] ... 5, in terms of thirds, is 15/3, plus ⅔ = 17/3.
The reciprocal of that is just upside-down— 3/17.
You would need to make the fraction a improper fraction and reverse it. It's improper fraction would be 17/3, flip that around and you will get 17/3. The answer is B.

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