Question

Clarence has
1
2
of a cup of frosting and 4 cupcakes. He is extra careful to make sure each cupcake gets the same amount of frosting. How many cups of frosting does Clarence put on each cupcake?
Write your answer as a fraction or a whole number.

Answers

GPT-4o mini
To find out how much frosting Clarence puts on each cupcake, we need to divide the total amount of frosting by the number of cupcakes.

Clarence has \(\frac{1}{2}\) of a cup of frosting and 4 cupcakes.

We can calculate the amount of frosting per cupcake as follows:

\[
\text{Frosting per cupcake} = \frac{\text{Total frosting}}{\text{Number of cupcakes}} = \frac{\frac{1}{2}}{4}
\]

To divide a fraction by a whole number, we can multiply by the reciprocal of that whole number:

\[
\frac{1}{2} \div 4 = \frac{1}{2} \times \frac{1}{4} = \frac{1 \times 1}{2 \times 4} = \frac{1}{8}
\]

Therefore, Clarence puts \(\frac{1}{8}\) of a cup of frosting on each cupcake.