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Multiply the additive inverse of (-7/8) by the reciprocal of (5 1/2)​

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4 votes

Answer:


\bold {$(7)/(44)$}

Explanation:

Reciprocal:


\sf \text{The reciprocal of any number $(a)/(b)$ is given by $(b)/(a)$}\\\\5(1)/(2)=(11)/(2)\\\\\text{Reciprocal of $(11)/(2)$ = $(2)/(11)$}

Additive inverse:


\text{Additive inverse of $(-7)/(8)$=$(7)/(8)$}

Now multiply,


\sf (7)/(8)*(2)/(11)=(7)/(4)*(1)/(11)\\


=(7)/(44)

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