Convert the following fraction into a decimal :

$9\dfrac{1}{25}$

First, we convert the mixed fraction into an improper fraction:

$\phantom{=} 9\dfrac{1}{25} = \dfrac{9 \times 25 + 1}{25} = \dfrac{225 + 1}{25} = \dfrac{226}{25}$

Now, we divide 226 by 25. Since 226 is not exactly divisible by 25, we add a decimal point and zeros to continue the division:

$\begin{array}{r} 9.04 \ 25 \overline{) 226.00} \ \underline{-225\phantom{00}} \ 100 \ \underline{-100} \ 0 \end{array}$

$\dfrac{226}{25}$ = 9.04

∴ $9\dfrac{1}{25}$ = 9.04