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The problem asks us to multiply the mixed numbers \(3 \frac{1}{5}\) and \(2 \frac{1}{4}\) and provide the answer as a mixed number in its simplest form.

### Step 1: Convert mixed numbers to improper fractions.
- For \(3 \frac{1}{5}\):
  \[
  3 \frac{1}{5} = \frac{(3 \times 5) + 1}{5} = \frac{16}{5}
  \]
  
- For \(2 \frac{1}{4}\):
  \[
  2 \frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{9}{4}
  \]

### Step 2: Multiply the improper fractions.
\[
\frac{16}{5} \times \frac{9}{4} = \frac{16 \times 9}{5 \times 4} = \frac{144}{20}
\]

### Step 3: Simplify the resulting fraction.
The greatest common divisor (GCD) of 144 and 20 is 4, so divide both the numerator and the denominator by 4:
\[
\frac{144}{20} = \frac{36}{5}
\]

### Step 4: Convert the improper fraction back to a mixed number.
\[
\frac{36}{5} = 7 \frac{1}{5}
\]

Thus, the product of \(3 \frac{1}{5}\) and \(2 \frac{1}{4}\) is \(7 \frac{1}{5}\).

Would you like any further details or explanations?

Here are 5 related questions you might find helpful:
1. How do you add mixed numbers?
2. How do you subtract mixed numbers?
3. What is the process for dividing mixed numbers?
4. How do you convert a mixed number to an improper fraction?
5. How do you simplify a fraction?

**Tip:** Always simplify fractions by finding the greatest common divisor (GCD) of the numerator and denominator.

Multiply 3 1/5 × 2 1/4. Answer as a mixed number in simplest form. Enter the whole number first.

Learn how to multiply the mixed numbers 3 1/5 and 2 1/4, with a step-by-step explanation. This guide covers converting mixed numbers to improper fractions, multiplying them, and simplifying the result to the mixed number 7 1/5. Perfect for students in Grades 5-7.

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