Find the square of $3\frac{1}{4}$.

Given :

The given number is  $3\frac{1}{4}$.

To do :

We have to find the square of the given number.

Solution :

 $3\frac{1}{4}$

Converting mixed fraction to normal fraction,

 $3\frac{1}{4} =  \frac{4\times 3 +1}{4} = \frac{12 + 1}{4} = \frac{13}{4}$

$(\frac{13}{4})^2$

We know that,

$(\frac{a}{b})^2 = \frac{a^2}{b^2}$

So, $(\frac{13}{4})^2 =  \frac{13^2}{4^2} $

$ = \frac{169}{16}$

Therefore, the square of $3\frac{1}{4}$ is $\frac{169}{16}$

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Updated on: 10-Oct-2022

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