Perform the operation and simplify the answer fully.
start fraction, start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 5, divided by, 3, end fraction, end fraction
3
5
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2
3
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To simplify the expression \(\frac{\frac{3}{2}}{\frac{5}{3}}\), we need to follow these steps:

1. First, understand that dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{\frac{3}{2}}{\frac{5}{3}}\) is equivalent to \(\frac{3}{2} \times \frac{3}{5}\).

2. Multiply the numerators and the denominators:
   \[
   \frac{3}{2} \times \frac{3}{5} = \frac{3 \times 3}{2 \times 5} = \frac{9}{10}
   \]

Thus, the simplified form of the given expression is \(\frac{9}{10}\).

Would you like more details or have any questions about this solution?

Here are 5 questions you might want to ask:
1. How do you multiply two fractions?
2. What is the reciprocal of a fraction?
3. Can you explain the steps in more detail?
4. How do you simplify a complex fraction?
5. What are some common mistakes to avoid when dividing fractions?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

Learn how to simplify the fraction (3/2) / (5/3) step-by-step. Understand the concept of dividing fractions and multiplying by reciprocals. Suitable for students in Grades 5-8.

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