Of the cakes at Craig’s bakery 5/6 have chocolate frosting of the cakes with chocolate frosting 1/2 half raspberry filling what fraction of the cakes at Craig’s bakery have both chocolate frosting and raspberry filling

To find what fraction of the cakes at Craig’s bakery have both chocolate frosting and raspberry filling, we multiply the fractions.

1. **Fraction with chocolate frosting**: \( \frac{5}{6} \)
2. **Fraction of cakes with chocolate frosting that have raspberry filling**: \( \frac{1}{2} \)

Now, multiply these two fractions:

\[
\frac{5}{6} \times \frac{1}{2} = \frac{5 \times 1}{6 \times 2} = \frac{5}{12}
\]

Thus, **\( \frac{5}{12} \)** of the cakes at Craig’s bakery have both chocolate frosting and raspberry filling.

Would you like further details or have any questions?

Here are 5 related questions to explore this concept further:
1. If 3/4 of the cakes with raspberry filling also have whipped cream, what fraction of all cakes have chocolate frosting, raspberry filling, and whipped cream?
2. If Craig's bakery has 60 cakes in total, how many have both chocolate frosting and raspberry filling?
3. What fraction of the cakes at the bakery do not have raspberry filling, assuming they all have chocolate frosting?
4. If 2/3 of the cakes without chocolate frosting have vanilla frosting, what fraction of the total cakes have vanilla frosting?
5. If half of the cakes with raspberry filling are sold, what fraction of the total cakes with both chocolate frosting and raspberry filling are left?

**Tip**: When multiplying fractions, simplify both the numerator and denominator if possible before multiplying to make the calculation easier.

Of the cakes at Craig’s bakery 5/6 have chocolate frosting. Of the cakes with chocolate frosting, 1/2 have raspberry filling. What fraction of the cakes at Craig’s bakery have both chocolate frosting and raspberry filling?

Find what fraction of the cakes at Craig's bakery have both chocolate frosting and raspberry filling. This problem involves multiplying fractions and understanding the concept of part-whole relationships. Ideal for students in Grades 4-6 learning about fractions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation