By what rational number should $\frac{24}{7}$ be multiplied to obtain 72.

Given: The rational number is $\frac{24}{7}$

To do: Find by what $\frac{24}{7}$ should be multiplied to obtain 72.

Solution: 

Let the number be $x$

So, $\frac{24}{7} \times x = 72$

$x=72\times\frac{7}{24}$

$x=6\times\frac{7}{2}$ [72 and 24 are divisible by 12]

$x=3\times7$ [6 is divisible by 2]

$x=21$

Therefore, the number by which $\frac{24}{7}$ should be multiplied to get 72 is 21

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Updated on: 10-Oct-2022

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