Let's go through each problem step-by-step and find the products as requested.

1. $3 \times \frac{2}{7}$

   • Multiply the whole number 3 by the fraction: $3 \times \frac{2}{7} = \frac{3 \times 2}{7} = \frac{6}{7}$

2. $2 \times \frac{13}{10}$

   • Multiply the whole number 2 by the fraction: $2 \times \frac{13}{10} = \frac{2 \times 13}{10} = \frac{26}{10} = \frac{13}{5}$ (Simplifying the fraction by dividing both numerator and denominator by 2).

3. $\frac{9}{5} \times \frac{3}{2}$

   • Multiply the two fractions: $\frac{9}{5} \times \frac{3}{2} = \frac{9 \times 3}{5 \times 2} = \frac{27}{10}$

4. $6 \times \frac{7}{8}$

   • Multiply the whole number 6 by the fraction: $6 \times \frac{7}{8} = \frac{6 \times 7}{8} = \frac{42}{8} = \frac{21}{4}$ (Simplifying the fraction by dividing both numerator and denominator by 2).

5. $\frac{3}{2} \times \frac{14}{11}$

   • Multiply the two fractions: $\frac{3}{2} \times \frac{14}{11} = \frac{3 \times 14}{2 \times 11} = \frac{42}{22} = \frac{21}{11}$ (Simplifying the fraction by dividing both numerator and denominator by 2).

Summary of Answers:

1. $\frac{6}{7}$
2. $\frac{13}{5}$
3. $\frac{27}{10}$
4. $\frac{21}{4}$
5. $\frac{21}{11}$

Would you like further details on any of the steps or have any questions?

Here are 5 questions you could explore next:

1. How do you multiply fractions with whole numbers?
2. How do you simplify fractions?
3. What is the method for multiplying two fractions?
4. How do you convert improper fractions to mixed numbers?
5. Can you perform division with fractions?

Tip: Always simplify your fractions if possible, by finding the greatest common divisor of the numerator and denominator!