Question

Subtract the additive inverse of 5/6from the multiplicative inverse of-5/7×14/15.

Answer 1

Additive inverse of 5/6 is - 5/6
-5/7*14/15=-2/3
Multiplicative inverse of - 2/3=-3/2
-3/2 - 2/3=-2
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Answer 2

$\textbf{Solution :}$

$\textbf{Additive Inverse}$ of

$\frac{5}{6}$

is

$- \frac{5}{6}$

$\textbf{Multiplicative Inverse}$ of

$- \frac{5}{7} \times \frac{14}{15} \\ = \frac{( - 5 )\times 14}{7 \times 15} \\ = \frac{ - 70}{105} \\ \frac{ - 2}{3}$

is

$\frac{ - 3}{2}$

$\textbf{Subtraction}$

$\frac{( - 5)}{6} - \frac{( - 3)}{2} \\ = \frac{( - 5)}{6} - \frac{( - 3) \times 3}{2 \times 3} \\ = \frac{( - 5)}{6} - \frac{( - 9)}{6} \\ = \frac{( - 5) + 9}{6} \\ = \frac{4}{6} \\ = \frac{2}{3}$

$\textbf{Answer :}$

$\frac{2}{3}$

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