Convert the following fraction into a decimal :

$4\dfrac{3}{8}$

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

$\phantom{=} 4\dfrac{3}{8} = \dfrac{4 \times 8 + 3}{8} = \dfrac{32 + 3}{8} = \dfrac{35}{8}$

Now, we divide 35 by 8. Since 35 is not exactly divisible by 8, we add a decimal point and zeros to continue the division:

$\begin{array}{r} 4.375 \ 8 \overline{) 35.000} \ \underline{-32\phantom{.000}} \ 30\phantom{00} \ \underline{-24\phantom{00}} \ 60\phantom{0} \ \underline{-56\phantom{0}} \ 40 \ \underline{-40} \ 0 \end{array}$

$\dfrac{35}{8}$ = 4.375

∴ $4\dfrac{3}{8}$ = 4.375