 A pancake recipe calls for 3/4
 cup of flour for each batch. You have 3 cups of flour and enough of the other ingredients to make six batches of pancakes. How many batches
of pancakes can you make? 

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.

---

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.

Learn how to calculate the number of pancake batches you can make with 3 cups of flour using fractions and proportions. Detailed step-by-step solution provided. Suitable for Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation