Chapter 8.2, Problem 38E

To determine

To find: The ratio of the integers.

Answer to Problem 38E

The ratio of the integer is $\frac{344}{55}$ .

Explanation of Solution

Given information: $0.2\overline{54}=\mathrm{0.2545454......}$

Calculation: $0.2\overline{54}=\mathrm{0.2545454......}$

The given number is bar number.

Let’s find the ratio of the integers,

  $\begin{array}{l}\text{ 6}.2\overline{54}\\ =6+\frac{254-2}{990}\\ =6+\frac{252}{990}\\ =6+\frac{14}{55}\\ =\frac{330+14}{55}\\ =\frac{344}{55}\end{array}$

Hence, The ratio of the integer is $\frac{344}{55}$ .