Question

of the cakes at sharons bakery, 3/4 have chocolate frosting. of the cakes with chocolate frosting, 1/4 have raspberry filling. what fraction of the cakes at sharons bakery have both chocolate frosting and raspberry filling? write your answer as a fraction or as a whole or mixed number. blank of the cakes

Explanation:

Step1: Identify the operation

We need to find the fraction of cakes with both chocolate frosting and raspberry filling. This is a multiplication of the fraction of cakes with chocolate frosting and the fraction of those with chocolate frosting that have raspberry filling.
The fraction with chocolate frosting is $\frac{3}{4}$, and the fraction of those with chocolate frosting that have raspberry filling is $\frac{1}{4}$. So we multiply $\frac{3}{4}$ by $\frac{1}{4}$.

Step2: Multiply the fractions

To multiply two fractions $\frac{a}{b}$ and $\frac{c}{d}$, we use the formula $\frac{a}{b} \times \frac{c}{d}=\frac{a\times c}{b\times d}$.
Here, $a = 3$, $b = 4$, $c = 1$, $d = 4$. So $\frac{3}{4}\times\frac{1}{4}=\frac{3\times1}{4\times4}=\frac{3}{16}$.

Answer:

$\frac{3}{16}$