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Answer :
Final answer:
The fraction that represents the cakes at Shelby's Bakery with both chocolate frosting and raspberry filling is 2/15.
Explanation:
To find out the fraction of cakes at Shelby's Bakery that have both chocolate frosting and raspberry filling, you need to multiply the fractions that represent each characteristic.
From the problem, we see that 2/5 of the cakes have chocolate frosting. Of these chocolate frosted cakes, 1/3 have a raspberry filling.
So, you multiply these two fractions together: 2/5 * 1/3 = 2/15.
Therefore, 2/15 of the cakes at Shelby's Bakery have both chocolate frosting and raspberry filling.
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