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abolin

Answer is C) 8/19

you do ((2*8)+3)/8
making it 19/8
and the reciprocal is the opposite of that answer, so 8/19

hello!

First, convert the mixed number into an improper fraction:-

\(\sf{2\displaystyle\frac{3}{8} }\)

Multiply 2 times 8 and add 3:-

\(\sf{\displaystyle\frac{19}{8}}\)

Now, in order to find the reciprocal of this number, we should simply flop it over:-

\(\sf{\displaystyle\frac{8}{19} }\)

\(\uparrow\sf{reciprocal~of~\displaystyle\frac{19}{8} }\)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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