To solve the expression \( \frac{57}{8} \times \frac{9}{2} \), follow these steps:

1. Multiply the numerators: \( 57 \times 9 \)
2. Multiply the denominators: \( 8 \times 2 \)
3. Simplify the resulting fraction if possible.

Let's calculate:

1. \( 57 \times 9 = 513 \)
2. \( 8 \times 2 = 16 \)

So, the expression \( \frac{57}{8} \times \frac{9}{2} \) simplifies to \( \frac{513}{16} \).

To convert \( \frac{513}{16} \) to a mixed number:

1. Divide 513 by 16 to get the whole number part.
2. The remainder will be the numerator of the fractional part.

Calculating the division:

\( 513 \div 16 = 32 \) with a remainder of \( 1 \).

Thus, \( \frac{513}{16} \) as a mixed number is \( 32 \frac{1}{16} \).

If you have any questions or want more details, please let me know. Here are five questions you can ask:

1. How do you simplify complex fractions?
2. What is the process for multiplying and dividing fractions?
3. How do you convert improper fractions to mixed numbers?
4. Can you explain the steps to solve a specific algebra problem?
5. How do you solve equations involving fractions and mixed numbers?

**Tip:** When multiplying fractions, always multiply the numerators together and the denominators together, then simplify the fraction if possible.

Learn how to multiply fractions 57/8 and 9/2 step-by-step with detailed calculations and conversion to a mixed number. This problem covers key concepts in fractions multiplication and conversion. Suitable for students in Grades 6-8.

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