Question

Write $\frac{1}{4}$ as a decimal.

Answer 1

Let's long divide 1 by 4.

As 1 is less than 4, we use a decimal point as shown.


Quotient = 0.25

$\therefore \frac{1}{4}=0.25$

We can verify the same by multiplying 4 by both side.

$4\times \frac{1}{4}=4\times 0.25$
$\Rightarrow \frac{4}{1}\times \frac{1}{4}=4\times 0.25$
$\Rightarrow 1=4\times 0.25$
$\Rightarrow 1=0.25+0.25+0.25+0.25$
​​​​​​​$\Rightarrow 1=(0.25+0.25)+(0.25+0.25)$
​​​​​​​$\Rightarrow 1=\left(0.5\right)+\left(0.5\right)$
​​​​​​​$\Rightarrow 1=1$
​As Left Hand Side is equal to the Right Hand Side, the answer by long division is correct.