1. The problem appears to involve simplifying and evaluating expressions involving multiplication and division of integers and fractions. 2. Let's clarify the operations step-by-step using the expressions given: - $1 \times 2 = 2$ - $1 \times 2 = 2$ - $2$ - $\frac{1}{2}$ - $1 \times 2 = 2$ - $3$ - $1 \times 3 = 3$ - $2$ - $\frac{2}{2} = 1$ - $3$ - $1:0$ (ratio or division by zero is undefined) - $2:1 = 2$ - $1:1 = 1$ - $3:0$ (division by zero is undefined) - $1:3 = \frac{1}{3}$ - $2:3 = \frac{2}{3}$ - $2:2 = 1$ 3. Important rules: - Multiplication is straightforward: multiply the numbers. - Division by zero is undefined. - Ratios like $a:b$ can be interpreted as fractions $\frac{a}{b}$. 4. Simplify fractions where possible, e.g., $\frac{2}{2} = 1$. 5. Final answers for valid expressions: - $1 \times 2 = 2$ - $\frac{1}{2}$ remains as is. - $\frac{2}{2} = 1$ - $2:1 = 2$ - $1:1 = 1$ - $1:3 = \frac{1}{3}$ - $2:3 = \frac{2}{3}$ - $2:2 = 1$ 6. Expressions involving division by zero ($1:0$, $3:0$) are undefined and cannot be evaluated. This completes the evaluation and simplification of the given expressions.