Answer :

To find the reciprocal of a number or fraction, just flip the numerator and denominator. Whole numbers are always over 1. 

 2 = [tex] \frac{2}{1} [/tex]

The reciprocal of [tex] \frac{2}{1} = \frac{1}{2} [/tex] or .5 (one-half)

The reciprocal of [tex] \frac{3}{8} = \frac{8}{3} [/tex]

The correct answer is:

8/19.

Explanation:

2 3/8 can be written as 1 + 1 + 3/8. Each whole number 1 can then be written as a fraction, 8/8:

8/8 + 8/8 + 3/8 = 16/8 + 3/8 = 19/8

The reciprocal is found by flipping the fraction; this makes it 8/19.

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