Question

a bakery in washington sells a variety of baked goods and takes note of how many are sold each year. bakery sales (pie chart: rolls ( \frac{1}{3} ), cakes ( \frac{1}{9} ), croissants ( \frac{2}{9} ), pies ( \frac{1}{3} )). which baked goods were the least popular? options: rolls, croissants, pies, cakes

Explanation:

Step1: Convert fractions to common denominator

To compare the fractions \(\frac{1}{3}\), \(\frac{1}{9}\), \(\frac{2}{9}\), and \(\frac{1}{3}\), we convert them to have a common denominator. The common denominator of 3 and 9 is 9.

• \(\frac{1}{3}=\frac{1\times3}{3\times3}=\frac{3}{9}\)
• \(\frac{1}{9}\) remains \(\frac{1}{9}\)
• \(\frac{2}{9}\) remains \(\frac{2}{9}\)
• \(\frac{1}{3}=\frac{3}{9}\)

Step2: Compare the numerators

Now we have the fractions: Rolls \(\frac{3}{9}\), Cakes \(\frac{1}{9}\), Croissants \(\frac{2}{9}\), Pies \(\frac{3}{9}\).
Comparing the numerators: \(1 < 2 < 3\). So \(\frac{1}{9}\) (Cakes) is the smallest.

Answer:

cakes