https://file.aiquickdraw.com/mathbot/file/17259927707402kquwk5f.jpg

Let's solve the problem step-by-step:

### Step 1: Understand the Problem
Cindy and Giovanni are making spaghetti sauce and need a certain amount of tomatoes for their recipes:
- Cindy needs \(4 \frac{3}{4}\) pounds of tomatoes.
- Giovanni needs \(5 \frac{3}{4}\) pounds of tomatoes.

We need to find the total amount of tomatoes required for both recipes.

### Step 2: Convert Mixed Numbers to Improper Fractions
1. **Cindy's Tomatoes:**
   \[
   4 \frac{3}{4} = 4 + \frac{3}{4} = \frac{16}{4} + \frac{3}{4} = \frac{19}{4}
   \]

2. **Giovanni's Tomatoes:**
   \[
   5 \frac{3}{4} = 5 + \frac{3}{4} = \frac{20}{4} + \frac{3}{4} = \frac{23}{4}
   \]

### Step 3: Add the Two Amounts
Add the two improper fractions:
\[
\frac{19}{4} + \frac{23}{4} = \frac{19 + 23}{4} = \frac{42}{4}
\]

### Step 4: Simplify the Result
Simplify \(\frac{42}{4}\):
\[
\frac{42}{4} = 10 \frac{1}{2}
\]

### Step 5: Conclusion
The total amount of tomatoes needed is **10 \(\frac{1}{2}\) pounds**.

### Answer: 
The correct answer is: **\(10 \frac{1}{2}\)**.

Would you like more details or have any questions? 

Here are some related questions you might find interesting:
1. How do you convert improper fractions back to mixed numbers?
2. What is the process for adding fractions with different denominators?
3. How can you multiply or divide mixed numbers?
4. What are some common mistakes when working with fractions and mixed numbers?
5. How can understanding fractions help in real-life scenarios like cooking?

**Tip:** When adding or subtracting fractions, always ensure they have a common denominator for accurate results!

Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 3/4 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?

Solve the mixed numbers addition problem: Cindy and Giovanni need 4 3/4 and 5 3/4 pounds of tomatoes. Learn how to convert mixed numbers to improper fractions and add them, arriving at the simplified result of 10 1/2 pounds of tomatoes. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation