https://file.aiquickdraw.com/mathbot/file/1727240659499lbov1gpp.jpg

The problem in the image is:

\[
5 \frac{1}{3} + 2 \frac{2}{3} - 3 \frac{4}{5} = \dots
\]

Let's break it down:

### Step 1: Convert Mixed Fractions to Improper Fractions
1. \( 5 \frac{1}{3} = \frac{16}{3} \)
2. \( 2 \frac{2}{3} = \frac{8}{3} \)
3. \( 3 \frac{4}{5} = \frac{19}{5} \)

### Step 2: Find a Common Denominator
The least common denominator (LCD) of 3 and 5 is 15.

- Convert \( \frac{16}{3} \) to \( \frac{80}{15} \)
- Convert \( \frac{8}{3} \) to \( \frac{40}{15} \)
- Convert \( \frac{19}{5} \) to \( \frac{57}{15} \)

### Step 3: Perform the Addition and Subtraction
Now compute:

\[
\frac{80}{15} + \frac{40}{15} - \frac{57}{15} = \frac{120}{15} - \frac{57}{15} = \frac{63}{15}
\]

### Step 4: Simplify the Result
\[
\frac{63}{15} = 4 \frac{3}{15}
\]

The correct answer is \( 4 \frac{3}{15} \), which matches **Option 3**.

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Would you like further details or explanations on any step?

Here are 5 questions related to this:

1. How do you find a common denominator for fractions?
2. What are the steps to convert mixed fractions into improper fractions?
3. How do you simplify a fraction?
4. Why is it important to simplify answers in fractions?
5. What are other methods to solve mixed fraction problems?

**Tip**: Always simplify your fractions to the lowest terms for clear and concise answers.

Learn how to solve the mixed fraction problem 5 1/3 + 2 2/3 - 3 4/5. This guide explains the conversion of mixed numbers to improper fractions, finding a common denominator, and simplifying the result. Suitable for students in Grades 5-7.

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