To solve \(\frac{32}{9} \times \frac{15}{9}\), follow these steps:

1. Multiply the numerators: \(32 \times 15 = 480\).
2. Multiply the denominators: \(9 \times 9 = 81\).
   
Thus, \[
\frac{32}{9} \times \frac{15}{9} = \frac{480}{81}
\]

This fraction can be simplified by finding the greatest common divisor (GCD) of 480 and 81, which is 3.

Now, divide both the numerator and denominator by 3:

\[
\frac{480 \div 3}{81 \div 3} = \frac{160}{27}
\]

So, the final simplified result is \(\frac{160}{27}\).

Would you like further details on fraction multiplication or simplification?

Here are 5 related questions for you to explore:
1. What is the product of \(\frac{45}{8} \times \frac{16}{3}\)?
2. How do you multiply mixed numbers, like \(3 \frac{1}{2} \times 4 \frac{2}{3}\)?
3. Can you convert \(\frac{160}{27}\) into a decimal?
4. How do you simplify fractions step-by-step?
5. How does multiplying fractions differ from adding fractions?

**Tip:** Always simplify the fractions as much as possible before multiplying, if it's convenient.

Learn how to multiply and simplify fractions like (32/9) * (15/9) with a detailed step-by-step solution. This problem covers the multiplication of fractions and simplification using the greatest common divisor (GCD), suitable for students in Grades 6-8.

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