Question

2.25
2 - 90. frieda friendly works for a local car dealership. she noticed that \\( \frac { 3 } { 4 } \\) of the cars are sedans and that half of them are white. what fraction of the dealerships cars are white sedans? homework help
a. use a unit rectangle to represent this situation. label the parts carefully.
b. write an equation or a sentence that describes the situation, and answer the question.
c. write your answer from part (b) as a decimal and as a percent.

Explanation:

Step1: Find the fraction of white sedans

The fraction of cars that are sedans is \(\frac{3}{4}\), and the fraction of those sedans that are white is \(\frac{1}{2}\). To find the fraction of white sedans, we multiply these two fractions: \(\frac{3}{4}\times\frac{1}{2}=\frac{3\times1}{4\times2}=\frac{3}{8}\).

Step2: Convert the fraction to a decimal

To convert \(\frac{3}{8}\) to a decimal, we divide 3 by 8. \(3\div8 = 0.375\).

Step3: Convert the decimal to a percent

To convert 0.375 to a percent, we multiply by 100. \(0.375\times100 = 37.5\%\).

Answer:

a. The fraction of white sedans is \(\frac{3}{8}\).
b. The equation is \( \text{Fraction of white sedans}=\frac{3}{4}\times\frac{1}{2}\), and the answer is \(\frac{3}{8}\) of the dealership's cars are white sedans.
c. As a decimal: \(0.375\), as a percent: \(37.5\%\)