To solve the expression \( 1 \frac{3}{9} \times \frac{3}{10} \), let's break it down:

1. Convert the mixed number \( 1 \frac{3}{9} \) to an improper fraction:
   \[
   1 \frac{3}{9} = \frac{9}{9} + \frac{3}{9} = \frac{12}{9}.
   \]

2. Multiply the fractions:
   \[
   \frac{12}{9} \times \frac{3}{10} = \frac{12 \times 3}{9 \times 10} = \frac{36}{90}.
   \]

3. Simplify the fraction \( \frac{36}{90} \) by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 18:
   \[
   \frac{36}{90} = \frac{36 \div 18}{90 \div 18} = \frac{2}{5}.
   \]

Thus, the result is \( \frac{2}{5} \).

Would you like any further explanation or have any questions?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the greatest common divisor (GCD) and how do you find it?
3. Can you explain how to simplify fractions step-by-step?
4. What are the general rules for multiplying fractions?
5. How do you handle multiplication when both numbers are mixed fractions?

**Tip**: Always simplify fractions whenever possible to make calculations easier!

Learn how to multiply a mixed number with a fraction in the problem 1 3/9 x 3/10. This solution explains how to convert mixed numbers into improper fractions, multiply the fractions, and simplify using the GCD. Perfect for students in Grades 4-6.

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