Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers1 Mark
Question
Fill in the blank.
$\frac{-8}{9}\times(......)=\frac{-2}{3}$
✓
Answer
$\frac{-8}{9}\times\frac{3}{4}=\frac{-2}{3}$Solution:
Let the blank space be x Now, we have:$\frac{-8}{9}\times\text{x}=\frac{-2}{3}$ $\Rightarrow\text{x}=\frac{-2}{3}\div\frac{-8}{9}$ $\Rightarrow\text{x}=\frac{-2}{3}\times\frac{9}{-8}$ $\Rightarrow\text{x}=\frac{18}{24}$ $\Rightarrow\text{x}=\frac{18\div6}{24\div6}$ $\Rightarrow\text{x}=\frac{3}{4}$
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