Chapter 7, Problem 2CST

To determine

To select:The correct answer from the given choices.

Answer to Problem 2CST

  $\frac{19}{50}=38\%$

Option H. $38\%$ is correct answer.

Explanation of Solution

Given information:

The information given in the question:

  $\frac{19}{50}$ as a percent

The options given for the answer:

F.

  $19\%$ G.

  $31\%$ H.

  $38\%$ I.

  $260\%$

As per the problem,

Consider the given fraction

  $\frac{19}{50}$

A fraction can be written as a percent by first writing the fraction as a decimal.

Write the fraction as decimal

  $\begin{array}{l}50\begin{array}{c}\hfill 0.38\\ \hfill \overline{)\begin{array}{l}19.0\\ \underset{\_}{150}\\ \text{ 40}\\ \underset{\_}{40}\end{array}}\end{array}\\ 0\end{array}$

The remainder is $\text{0}$ , so the decimal is a terminating decimal:

  $\frac{19}{50}=0.38$

To write a decimal as a percent, move the decimal point two places to the right and write a percent sign.

  $0.\underset{⌣}{3}\underset{⌣}{8}$ = $38\%$

Therefore,

  $\frac{19}{50}=38\%$

Hence,

Option H. $38\%$ is correct answer.