Solve Fraction Multiplication: Calculate 7/8 × 4/6

The multiplication of fractions $\frac{7}{8}$ and $\frac{4}{6}$ requires the direct operation of multiplying numerators with numerators and denominators with denominators.

• Multiply the numerators: $7 \times 4 = 28$
• Multiply the denominators: $8 \times 6 = 48$
• Form the resulting fraction: $\frac{28}{48}$

Now, we need to simplify $\frac{28}{48}$. Find the greatest common divisor (GCD) of 28 and 48, which is 4.

• Divide both numerator and denominator by their GCD: $\frac{28 \div 4}{48 \div 4} = \frac{7}{12}$

Therefore, the solution to the problem is $\frac{7}{12}$.

Thus, the correct answer is $\frac{7}{12}$, which corresponds to choice 3.