1. **State the problem:** Multiply 6 by $\frac{3}{8}$ and simplify the answer as a mixed number. 2. **Formula used:** To multiply a whole number by a fraction, multiply the whole number by the numerator and keep the denominator the same: $$\text{Result} = \text{Whole number} \times \frac{\text{Numerator}}{\text{Denominator}} = \frac{\text{Whole number} \times \text{Numerator}}{\text{Denominator}}$$ 3. **Apply the formula:** $$6 \times \frac{3}{8} = \frac{6 \times 3}{8} = \frac{18}{8}$$ 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 18 and 8, which is 2. $$\frac{\cancel{2} \times 9}{\cancel{2} \times 4} = \frac{9}{4}$$ 5. **Convert to a mixed number:** Divide 9 by 4: $$9 \div 4 = 2 \text{ remainder } 1$$ So, $$\frac{9}{4} = 2 \frac{1}{4}$$ 6. **Final answer:** $$2 \frac{1}{4}$$ This means 6 multiplied by $\frac{3}{8}$ equals the mixed number $2 \frac{1}{4}$.