Multiply 3/5 by 10/9

Problem: Multiply $\frac{3}{5}$ by $\frac{10}{9}$, written as $\frac{3}{5} \times \frac{10}{9}$.

Steps

1. Set up multiplication of fractions
   $$\frac{3 \times 10}{5 \times 9}$$
2. Cancel common factors
   $$\frac{1 \times 2}{1 \times 3}$$
3. Multiply numerators and denominators
   $$\frac{2}{3}$$