Question

Write the following rational numbers in decimal form:
$\frac{19}{11}$

Answer 1

Given rational number is $\frac{19}{11}$
Here is the long division method to find the decimal form of $\frac{19}{11}$ is

$\begin{array}{cc}& 1.7272\\ 11& 19\\ & \underset{–}{-11}\\ & 80\\ & \underset{–}{-77}\\ & 30\\ & \underset{–}{-22}\\ & 80\\ & \underset{–}{-77}\\ & 30\\ & \underset{–}{-22}\\ & 8\end{array}$

Hence, decimal form of $\frac{19}{11}$ is $1.7272\dots =1.\overline{72}$