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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Updated on: 10-Oct-2022

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