Multiply the Fractions: Calculate 1/4 × 3/2 Step-by-Step

To solve the problem of multiplying the fractions $\frac{1}{4}$ and $\frac{3}{2}$, we will follow these steps:

• Step 1: Multiply the numerators of the fractions.
• Step 2: Multiply the denominators of the fractions.
• Step 3: Write the result as a fraction and simplify if needed.

Now, let's work through each step:

Step 1: Multiply the numerators:
The numerators are $1$ and $3$. Thus, $1 \times 3 = 3$.

Step 2: Multiply the denominators:
The denominators are $4$ and $2$. Thus, $4 \times 2 = 8$.

Step 3: Write the result as a fraction and simplify:
The resulting fraction is $\frac{3}{8}$. This fraction is already in simplest form.

Therefore, the solution to the problem is $\frac{3}{8}$.

Among the choices provided, the correct answer is choice 3: $\frac{3}{8}$.