High School

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Of the cakes at Candice's Bakery, \(\frac{3}{8}\) have chocolate frosting. Of the cakes with chocolate frosting, \(\frac{1}{2}\) have raspberry filling. What fraction of the cakes at Candice's Bakery have both chocolate frosting and raspberry filling?

Answer :

To find the fraction of cakes that have both chocolate frosting and raspberry filling, multiply 3/8 by 1/2 to get 3/16. Therefore, 3/16 of the cakes at Candice's Bakery have both chocolate frosting and raspberry filling.

To find the fraction of cakes that have both chocolate frosting and raspberry filling, we need to multiply the two given fractions:

  1. The fraction of cakes with chocolate frosting: 3/8

  2. The fraction of cakes with raspberry filling among those with chocolate frosting: 1/2

Now, multiply these fractions:

(3/8) * (1/2)

To multiply fractions, multiply the numerators (top numbers) and the denominators (bottom numbers):

(3 * 1) / (8 * 2) = 3 / 16

Thus, the fraction of the cakes that have both chocolate frosting and raspberry filling is 3/16.

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