Question

Write the decimal expansion of $\frac{17}{8}$.

Answer 1

Find the decimal expansion of $\frac{17}{8}$:

$\begin{array}{rcl}\frac{17}{8}& =& \frac{17\times 125}{8\times 125}\\ & \Rightarrow & \frac{17}{8}=\frac{2125}{1000}\\ \therefore \frac{17}{8}& =& 2.125\end{array}$

Hence, decimal expansion of $\begin{array}{r}\frac{17}{8}\end{array}$is $2.125$.