Question

of the cakes at colettes bakery, 3/8 have chocolate frosting. of the cakes with chocolate frosting, 1/2 have raspberry filling. what fraction of the cakes at colettes bakery have both chocolate frosting and raspberry filling? write your answer as a fraction or as a whole or mixed number. of the cakes

Explanation:

Step1: Identify relevant fractions

We know the fraction of cakes with chocolate frosting is $\frac{3}{8}$, and the fraction of chocolate - frosted cakes with raspberry filling is $\frac{1}{2}$.

Step2: Calculate the fraction of cakes with both

To find the fraction of cakes with both chocolate frosting and raspberry filling, we multiply the two fractions. So, $\frac{3}{8}\times\frac{1}{2}=\frac{3\times1}{8\times2}=\frac{3}{16}$.

Answer:

$\frac{3}{16}$