Questions: In a survey of 1000 adults, 145 indicated that they were not confident that they will have enough saved to last through retirement. Write the fraction, in lowest terms, of adults who are not confident they will have enough saved to last through retirement.
The fraction of the adults that were not confident that they had enough saved is
(Type an integer or a fraction.)
Transcript text: ions of College Algebra (4244_25Z3)
Maranda Childress
10/13/24 11:51 AM
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Question 14 of 48
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In a survey of 1000 adults, 145 indicated that they were not confident that they will have enough saved to last through retirement. Write the fraction, in lowest terms, of adults who are not confident they will have enough saved to last through retirement.
The fraction of the adults that were not confident that they had enough saved is $\square$
(Type an integer or a fraction.)
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Solution
Solution Steps
To find the fraction of adults who are not confident about their retirement savings, divide the number of adults who are not confident by the total number of adults surveyed. Then, simplify the fraction to its lowest terms.
Step 1: Determine the Fraction
To find the fraction of adults who are not confident about their retirement savings, we start with the number of adults not confident, which is \( 145 \), and the total number of adults surveyed, which is \( 1000 \). Thus, the fraction can be expressed as:
\[
\text{Fraction} = \frac{145}{1000}
\]
Step 2: Simplify the Fraction
Next, we simplify the fraction \( \frac{145}{1000} \). The greatest common divisor (GCD) of \( 145 \) and \( 1000 \) is \( 5 \). Therefore, we divide both the numerator and the denominator by \( 5 \):