Chapter 4.3, Problem 59SR

To determine

To calculate:To write each fraction in simplest form.

Answer to Problem 59SR

Each fraction is written in simplest form

Explanation of Solution

Given information:The city of Heath makes up $\frac{1}{10}$ of the population in Rockwall County. Table with the details of fraction of Rockwall County’s population that lives in other cities

City	Decimal Part of Rockwall County’s Population
Fate	0.018
McLendon-Chisholm	0.02
Rockwall	0.42
Royse City	0.07

Calculation:

Fraction of Rockwall County’s population that lives in Fate is calculated as

$\begin{array}{l}Fraction=0.018\times \frac{1}{10}\\ Fraction=\frac{18}{1000}\times \frac{1}{10}\\ Fraction=\frac{18}{10000}\\ Fraction=\frac{9}{5000}\end{array}$

Fraction of Rockwall County’s population that lives in McLendon-Chisholmis calculated as

$\begin{array}{l}Fraction=0.02\times \frac{1}{10}\\ Fraction=\frac{2}{100}\times \frac{1}{10}\\ Fraction=\frac{18}{1000}\\ Fraction=\frac{1}{500}\end{array}$

Fraction of Rockwall County’s population that lives in Rockwall is calculated as

$\begin{array}{l}Fraction=0.42\times \frac{1}{10}\\ Fraction=\frac{42}{100}\times \frac{1}{10}\\ Fraction=\frac{42}{1000}\\ Fraction=\frac{21}{500}\end{array}$

Fraction of Rockwall County’s population that lives in McLendon-Chisholm is calculated as

$\begin{array}{l}Fraction=0.07\times \frac{1}{10}\\ Fraction=\frac{7}{100}\times \frac{1}{10}\\ Fraction=\frac{7}{1000}\end{array}$