Solve the Multiplication Problem: 6 × 3/4

To solve the problem $6 \times \frac{3}{4}$, we follow these steps:

• Step 1: Express the integer 6 as a fraction: $\frac{6}{1}$.
• Step 2: Multiply the fractions: $\frac{6}{1} \times \frac{3}{4}$.
• Step 3: Multiply the numerators: $6 \times 3 = 18$.
• Step 4: Multiply the denominators: $1 \times 4 = 4$.
• Step 5: Form the resulting fraction: $\frac{18}{4}$.
• Step 6: Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2: $\frac{18}{4} \div \frac{2}{2} = \frac{9}{2}$.
• Step 7: Convert $\frac{9}{2}$ to a mixed number: Divide 9 by 2 to get 4 with a remainder of 1, thus $\frac{9}{2} = 4\frac{1}{2}$.

Therefore, the solution to the problem is $4\frac{1}{2}$.