https://file.aiquickdraw.com/mathbot/file/1727246048599tfzneegc.jpg

The expression in the image is:

\[
3 \frac{1}{5} \times \frac{10}{13}
\]

### Step 1: Convert the mixed number to an improper fraction.
The mixed number \(3 \frac{1}{5}\) can be converted to an improper fraction as follows:

\[
3 \frac{1}{5} = \frac{3 \times 5 + 1}{5} = \frac{16}{5}
\]

### Step 2: Multiply the fractions.
Now, multiply \(\frac{16}{5}\) by \(\frac{10}{13}\):

\[
\frac{16}{5} \times \frac{10}{13} = \frac{16 \times 10}{5 \times 13} = \frac{160}{65}
\]

### Step 3: Simplify the result.
To simplify \(\frac{160}{65}\), find the greatest common divisor (GCD) of 160 and 65, which is 5. Divide both the numerator and the denominator by 5:

\[
\frac{160}{65} = \frac{160 \div 5}{65 \div 5} = \frac{32}{13}
\]

### Final Answer:
The product is:

\[
\frac{32}{13}
\]

Would you like any further clarification or details on any part of this solution?

### Related Questions:
1. How do you convert improper fractions to mixed numbers?
2. What is the general method for multiplying two fractions?
3. How do you simplify a fraction using the greatest common divisor (GCD)?
4. Can this result be expressed as a mixed number, and if so, how?
5. How would the result change if we were dividing the fractions instead of multiplying?

**Tip:** When multiplying fractions, always simplify both fractions before multiplying, if possible, to make calculations easier.

Learn how to multiply the mixed number 3 1/5 by the fraction 10/13. This step-by-step solution covers converting mixed numbers to improper fractions, multiplying fractions, and simplifying the result. Suitable for Grades 6-8.

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