https://file.aiquickdraw.com/mathbot/file/1726899057599hassxgd9.jpg

The expression shown in the image is:

\[
3 \frac{1}{3} \cdot \frac{4}{5}
\]

Let me guide you through the steps to solve this.

### Step 1: Convert the mixed number to an improper fraction
First, we need to convert the mixed number \( 3 \frac{1}{3} \) into an improper fraction.

\[
3 \frac{1}{3} = \frac{3 \cdot 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
\]

### Step 2: Multiply the fractions
Now, we multiply the two fractions:

\[
\frac{10}{3} \cdot \frac{4}{5}
\]

Multiply the numerators (top parts of the fractions) together and the denominators (bottom parts) together:

\[
\frac{10 \cdot 4}{3 \cdot 5} = \frac{40}{15}
\]

### Step 3: Simplify the fraction
To simplify \( \frac{40}{15} \), find the greatest common divisor (GCD) of 40 and 15, which is 5. Divide both the numerator and denominator by 5:

\[
\frac{40 \div 5}{15 \div 5} = \frac{8}{3}
\]

### Final Answer:
The result is:

\[
\frac{8}{3}
\]

This is an improper fraction, which can also be written as a mixed number:

\[
\frac{8}{3} = 2 \frac{2}{3}
\]

Would you like more details or have any questions about the steps?

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Here are 5 related questions to deepen your understanding:

1. How do you multiply two mixed numbers together?
2. What is the method to convert an improper fraction back to a mixed number?
3. How can you simplify complex fractions with larger numbers?
4. How do you find the greatest common divisor (GCD) of two numbers?
5. What is the process for adding or subtracting fractions with different denominators?

**Tip:** Always convert mixed numbers to improper fractions before multiplying or dividing them for easier calculations.

Learn how to multiply mixed numbers and fractions with a detailed solution. This problem focuses on converting mixed numbers into improper fractions and multiplying two fractions. Suitable for students in Grades 5-6.

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