Question
Fill in the blanks.$\frac{-9}{14}+\dots=-1$

Answer

$\frac{-9}{14}+\frac{-5}{14}=-1$
$\text{x}=-1-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=\frac{-1\times14}{1\times14}-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=-\frac{14}{14}-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=\frac{-14+9}{14}$
$\Rightarrow\text{x}=\frac{-5}{14}$
$\frac{-9}{14}+\frac{-5}{14}=-1$

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