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By what number should $5 \frac{2}{3}$ be multiplied to get $12\frac{3}{4}$ ?
Given: $5\frac{2}{3}$ is multiplied by a number to get $12 \frac{3}{4}$.
To do: To find the number.
Solution:
Let the number be $x$.
Therefore, $5\frac{2}{3}\times x=12 \frac{3}{4}$
$\Rightarrow \frac{17}{3}x=\frac{51}{4}$
$\Rightarrow x=\frac{\frac{51}{4}}{\frac{17}{3}}$
$\Rightarrow x=\frac{51}{4}\times\frac{3}{17}$
$\Rightarrow x=\frac{9}{4}$
$\Rightarrow x=2\frac{1}{4}$
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