The Frosting Mountain cupcake shop has 2 cups of vanilla. Each batch of cupcakes requires $\frac{1}{4}$ of a cup of vanilla. We need to determine how many batches of cupcakes can be made before they run out of vanilla.

1. Problem Description

The Frosting Mountain cupcake shop has 2 cups of vanilla. Each batch of cupcakes requires $\frac{1}{4}$ of a cup of vanilla. We need to determine how many batches of cupcakes can be made before they run out of vanilla.

2. Solution Steps

To find the number of batches of cupcakes that can be made, we need to divide the total amount of vanilla by the amount of vanilla needed per batch.

So we need to calculate $2 \div \frac{1}{4}$.

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{1}{4}$ is $\frac{4}{1}$, which is

4. Therefore, we have:

$2 \div \frac{1}{4} = 2 \times 4 = 8$.

3. Final Answer

The number of batches of cupcakes that can be made is 8.