Question
Fill in the blank: $(.....)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
✓
Answer
Let required number $= x$ Then, $\text{x}\div\frac{-7}{5}=\frac{10}{19}$
$\Rightarrow\text{x}=\frac{10}{19}\div\frac{5}{-7}$
$\Rightarrow\text{x}=\frac{10}{19}\times\frac{-7}{5}$
$=\frac{-70}{95}$
$=\frac{-70\div5}{95\div5}$
$=\frac{-14}{19}$
$\therefore$ Required number $=\frac{-14}{19}$
$\Rightarrow\text{x}=\frac{10}{19}\div\frac{5}{-7}$
$\Rightarrow\text{x}=\frac{10}{19}\times\frac{-7}{5}$
$=\frac{-70}{95}$
$=\frac{-70\div5}{95\div5}$
$=\frac{-14}{19}$
$\therefore$ Required number $=\frac{-14}{19}$
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