What's the product of 3 2⁄3 and 14 2⁄5 ? 

To find the product of \(3 \frac{2}{3}\) and \(14 \frac{2}{5}\), we first convert the mixed numbers to improper fractions:

1. Convert \(3 \frac{2}{3}\) to an improper fraction:
   \[
   3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}
   \]

2. Convert \(14 \frac{2}{5}\) to an improper fraction:
   \[
   14 \frac{2}{5} = \frac{14 \times 5 + 2}{5} = \frac{70 + 2}{5} = \frac{72}{5}
   \]

Next, multiply the two improper fractions:

\[
\frac{11}{3} \times \frac{72}{5} = \frac{11 \times 72}{3 \times 5} = \frac{792}{15}
\]

Now, simplify the fraction:

\[
\frac{792}{15} = \frac{264}{5} = 52 \frac{4}{5}
\]

So, the product of \(3 \frac{2}{3}\) and \(14 \frac{2}{5}\) is \(52 \frac{4}{5}\).

Would you like more details on any of these steps?

Here are five related questions:
1. How do you multiply two mixed numbers?
2. What is the process for simplifying improper fractions?
3. Can you convert \(52 \frac{4}{5}\) back to an improper fraction?
4. How would you solve this using a calculator?
5. What happens if one of the mixed numbers is negative?

**Tip:** Always simplify fractions at each step to make calculations easier.

What's the product of 3 2⁄3 and 14 2⁄5?

Learn how to multiply the mixed numbers 3 2/3 and 14 2/5 with a detailed step-by-step solution. This problem covers key concepts such as converting mixed numbers to improper fractions and simplifying the result. Perfect for students in Grades 5-7.

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