To solve this problem, we need to determine how many batches of pancakes can be made with the available amount of flour.

The recipe requires $\frac{3}{4}$ cup of flour for each batch of pancakes. We are given that we have a total of 3 cups of flour.

Steps to solve the problem:

1. Calculate the number of batches that can be made with 3 cups of flour:

   To find out how many batches we can make, we divide the total amount of flour available by the amount needed for each batch.

   $\text{Number of batches} = \frac{\text{Total flour available}}{\text{Flour per batch}}$

   $\text{Number of batches} = \frac{3 \text{ cups}}{\frac{3}{4} \text{ cup per batch}}$

2. Divide 3 by $\frac{3}{4}$:

   Dividing by a fraction is the same as multiplying by its reciprocal. So, we multiply 3 by the reciprocal of $\frac{3}{4}$, which is $\frac{4}{3}$.

   $\text{Number of batches} = 3 \times \frac{4}{3}$

3. Simplify the calculation:

   $\text{Number of batches} = \frac{3 \times 4}{3}$

   $\text{Number of batches} = 4$

So, with 3 cups of flour, you can make 4 batches of pancakes.

You have enough ingredients for 6 batches, but the flour limits you to making only 4 batches.

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Would you like more details on any part of the solution, or do you have any other questions?

Related Questions:

1. How much flour would you need to make 8 batches of pancakes?
2. If you had 5 cups of flour, how many batches could you make?
3. How much flour would be left over after making 4 batches?
4. If the recipe were changed to use $\frac{2}{3}$ cup of flour per batch, how many batches could be made with 3 cups of flour?
5. How many cups of flour are needed to make 10 batches of pancakes?

Tip:

When dividing by a fraction, remember that it is equivalent to multiplying by the reciprocal of that fraction. This can make solving problems involving division of fractions easier.