Question
It takes 3/4 cup of frosting to frost a cake. If you have 4 cups of frosting, how many cakes can you frost? What fraction of a cake could you frost with this part? D f a cake 1 2 3 4 5 6 7 8 9 0 Enter
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Gauth AI Solution
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Answer
You can frost 5$$\frac{1}{3}$$ cakes, and $$\frac{4}{3}$$ of a cake.
Explanation
- Convert the whole number 4 to an improper fraction: $$4 = \frac{4}{1}$$.
- Divide the total frosting by the amount needed for one cake: $$\frac{4}{1} \div \frac{3}{4}$$.
- Multiply by the reciprocal: $$\frac{4}{1} \times \frac{4}{3}$$.
- Calculate: $$\frac{16}{3} = 5\frac{1}{3}$$ cakes can be frosted.
- To find the fraction of a cake: $$\frac{1}{\frac{3}{4}} = \frac{4}{3}$$.
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