Question
Fill in the blank. $\frac{25}{8}\div(......)=-10$
✓
Answer
$\frac{25}{8}\div\frac{-5}{16}=-10$Solution:
$\frac{25}{8}\div\text{x}=-10$
$\Rightarrow\text{x}=\frac{25}{8}\div-10$
$\Rightarrow\text{x}=\frac{25}{8}\times\frac{1}{-10}$
$\Rightarrow\text{x}=\frac{25\times1}{8\times-10}$
$\Rightarrow\text{x}=\frac{25}{-80}$
$\Rightarrow\text{x}=\frac{25\times-1}{-80\times-1}$
$\Rightarrow\text{x}=\frac{-25}{80}$
$\Rightarrow\text{x}=\frac{-25\div5}{80\div5}$
$\Rightarrow\text{x}=\frac{-5}{16}$
$\frac{25}{8}\div\text{x}=-10$
$\Rightarrow\text{x}=\frac{25}{8}\div-10$
$\Rightarrow\text{x}=\frac{25}{8}\times\frac{1}{-10}$
$\Rightarrow\text{x}=\frac{25\times1}{8\times-10}$
$\Rightarrow\text{x}=\frac{25}{-80}$
$\Rightarrow\text{x}=\frac{25\times-1}{-80\times-1}$
$\Rightarrow\text{x}=\frac{-25}{80}$
$\Rightarrow\text{x}=\frac{-25\div5}{80\div5}$
$\Rightarrow\text{x}=\frac{-5}{16}$
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