Chapter 11.2, Problem 11WE

To determine

To find: The rational number as the terminating or repeating decimal.

Answer to Problem 11WE

The decimal form of the rational number is $3.45$ .

Explanation of Solution

Given information:

The given fraction is,

  $3\frac{9}{20}$

Concept used:

If the remainder of the division is zero, the decimal form of the fraction is called a terminating.

The given fraction can be written as,

  $\begin{array}{c}3\frac{9}{20}=\frac{69}{20}\\ =20\begin{array}{c}\hfill 3.45\\ \hfill \overline{)\begin{array}{l}69\\ \underset{\_}{-60}\\ 090\\ \underset{\_}{-80}\\ 100\\ \underset{\_}{-100}\\ 000\end{array}}\end{array}\end{array}$

Thus, the decimal form of the rational number is $3.45$ .