1. **State the problem:** We want to solve the expression $4 \times \frac{3}{4}$ using multiplication and division. 2. **Recall the rule:** Multiplying a whole number by a fraction means multiplying the whole number by the numerator and then dividing by the denominator. 3. **Apply the formula:** $$4 \times \frac{3}{4} = \frac{4 \times 3}{4}$$ 4. **Simplify the fraction:** $$\frac{\cancel{4} \times 3}{\cancel{4}} = 3$$ 5. **Explanation:** We canceled the 4 in numerator and denominator because dividing both by 4 simplifies the fraction. 6. **Final answer:** $$4 \times \frac{3}{4} = 3$$