Chapter 7.6, Problem 2ST

To determine

The solution of the expression as a fraction in simplest form.

Answer to Problem 2ST

  $\frac{29}{40}$ .

Explanation of Solution

Given information:

Simplify:

  $72\frac{1}{2}\%$

Calculation:

The given expression is $72\frac{1}{2}\%$ .

To write the percent as an improper fraction as shown below:

  $72\frac{1}{2}\%=\frac{145}{2}\%$

Write in fraction form:

  $\frac{\frac{145}{2}}{100}$

Simplifying the above equation:

  $\begin{array}{l}\frac{145}{2}\times \frac{1}{100}\\ =\frac{145}{200}\end{array}$

Divide the numerator and denominator by $5$ :

  $\frac{29}{40}$

Thus, the solution is $\frac{29}{40}$ .