Convert the following fractions into a decimal :

$4\dfrac{11}{125}$

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

$4\dfrac{11}{125} = \dfrac{4 \times 125 + 11}{125} = \dfrac{500 + 11}{125} = \dfrac{511}{125}$

Now, we divide 511 by 125. We add a decimal point and zeros to continue the division:

$\begin{array}{r} 4.088 \ 125 \overline{) 511.000} \ \underline{-500\phantom{.000}} \ 1100\phantom{0} \ \underline{-1000\phantom{0}} \ 1000 \ \underline{-1000} \ 0 \end{array}$

$\dfrac{511}{125}$ = 4.088

∴ $4\dfrac{11}{125}$ = 4.088