To determine how many employees favored the new insurance program, we can break down the problem into clear, manageable steps.
1. Understand the percentage in fraction form:
The survey claims that [tex]\(33 \frac{1}{3} \%\)[/tex] of employees favor the new program. First, we need to convert the mixed number percentage into a standard fraction.
[tex]\(33 \frac{1}{3} \%\)[/tex] can be written as [tex]\(33 + \frac{1}{3} \%\)[/tex].
Converting the percentage into a fraction:
[tex]\[
33 + \frac{1}{3} = \frac{100}{3}
\][/tex]
Therefore, [tex]\(33 \frac{1}{3} \%\)[/tex] as a fraction is:
[tex]\[
\frac{1}{3}
\][/tex]
2. Calculate the fraction portion:
Since the fraction representing the percentage is [tex]\(\frac{1}{3}\)[/tex], we will now apply this fraction to the total number of employees.
3. Apply the fraction to the total number of employees:
The total number of employees is 1800. To find the number of employees who favor the new program, we multiply the total number of employees by [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[
\text{Number of employees who favor the new program} = \frac{1}{3} \times 1800
\][/tex]
4. Perform the multiplication:
Multiplying 1800 by [tex]\(\frac{1}{3}\)[/tex]:
[tex]\[
\frac{1}{3} \times 1800 = 600
\][/tex]
Thus, 600 employees favored the new insurance program.
