1. **Problem statement:** Determine the sign of each quotient. 2. **Recall the rule for division of rational numbers:** When dividing two numbers, the sign of the quotient depends on the signs of the dividend and divisor. - Positive ÷ Positive = Positive - Negative ÷ Positive = Negative - Positive ÷ Negative = Negative - Negative ÷ Negative = Positive 3. **Part (a):** Calculate the sign of $$\left(-\frac{3}{8}\right) \div \frac{3}{4}$$ - The dividend is negative ($$-\frac{3}{8}$$). - The divisor is positive ($$\frac{3}{4}$$). - Negative ÷ Positive = Negative. 4. **Part (b):** Calculate the sign of $$\left(-4 \frac{1}{5}\right) \div \left(-3 \frac{1}{3}\right)$$ - Convert mixed numbers to improper fractions: $$-4 \frac{1}{5} = -\frac{21}{5}$$ $$-3 \frac{1}{3} = -\frac{10}{3}$$ - Both dividend and divisor are negative. - Negative ÷ Negative = Positive. **Final answers:** - (a) The quotient is negative. - (b) The quotient is positive.