Question
Fill in the blank:
$(-12)\div(.....)=\frac{-6}{5}$

Answer

Let required number = x
Then,
$(-12)\div(.....)=\frac{-6}{5}$
$\Rightarrow\frac{-12}{1}\times\frac{1}{\text{x}}=\frac{-6}{5}$
$\Rightarrow\frac{1}{\text{x}}=\frac{-6}{5}\div\frac{12}{1}$
$\Rightarrow\frac{-6}{5}\times\frac{1}{-12}$
$=\frac{-6}{-60}=\frac{6}{60}$
$\therefore\text{x}=\frac{60}{6}$
$=10$
$\therefore$ Required number = 10

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