Solve Mixed Number Multiplication: 2 4/12 × 1 2/4

To solve the given problem, we'll follow these steps:

• Convert the mixed numbers to improper fractions.
• Multiply the improper fractions.
• Simplify the result and convert back to a mixed number if necessary.

Let's work through these steps:

1. Convert each mixed number to an improper fraction:

• For $2\frac{4}{12}$, first simplify the fraction $\frac{4}{12}$ to $\frac{1}{3}$. So, $2\frac{1}{3}$ becomes:

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

• For $1\frac{2}{4}$, first simplify the fraction $\frac{2}{4}$ to $\frac{1}{2}$. So, $1\frac{1}{2}$ becomes:

$\frac{1 \times 2 + 1}{2} = \frac{3}{2}$.

2. Multiply the improper fractions:

The multiplication of $\frac{7}{3}$ and $\frac{3}{2}$ is:

$\frac{7}{3} \times \frac{3}{2} = \frac{21}{6}$.

3. Simplify the resulting fraction $\frac{21}{6}$:

$\frac{21}{6} = \frac{7}{2}$ after dividing the numerator and denominator by 3.

4. Convert the improper fraction back to a mixed number:

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

Thus, the solution to the problem is $\boxed{3\frac{1}{2}}$.