Question
Fill in the blanks:
$9\frac{2}{3}+\ ....=19$
$9\frac{2}{3}+\ ....=19$
✓
Answer
Given, $9\frac{2}{3}+\ ....=19$ Let the value in the blank be x. $9\frac{2}{3}+\text{x}=19$
$\Rightarrow\text{x}=19-9\frac{2}{3}$
$\Rightarrow\text{x}=\frac{19}{1}-\frac{9\times3+2}{3}$
$\Rightarrow\text{x}=\frac{19}{1}-\frac{29}{3}$
$\Rightarrow\text{x}=\frac{19\times3}{1\times3}-\frac{29\times1}{3\times1}$ (because $LCM$ of $1$ and $3$ is $3)$
$\Rightarrow\text{x}=\frac{57}{3}-\frac{29}{3}$
$\Rightarrow\text{x}=\frac{57-29}{3}$
$\Rightarrow\text{x}=\frac{28}{3}$
$\text{x}=9\frac{1}{3}$
$\Rightarrow\text{x}=19-9\frac{2}{3}$
$\Rightarrow\text{x}=\frac{19}{1}-\frac{9\times3+2}{3}$
$\Rightarrow\text{x}=\frac{19}{1}-\frac{29}{3}$
$\Rightarrow\text{x}=\frac{19\times3}{1\times3}-\frac{29\times1}{3\times1}$ (because $LCM$ of $1$ and $3$ is $3)$
$\Rightarrow\text{x}=\frac{57}{3}-\frac{29}{3}$
$\Rightarrow\text{x}=\frac{57-29}{3}$
$\Rightarrow\text{x}=\frac{28}{3}$
$\text{x}=9\frac{1}{3}$
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