1. **Problem:** Calculate $$\left(-\frac{8}{15}\right) \times \left(7 \frac{1}{4} - 3 \frac{1}{2}\right)$$. 2. **Convert mixed numbers to improper fractions:** $$7 \frac{1}{4} = \frac{29}{4}, \quad 3 \frac{1}{2} = \frac{7}{2}$$. 3. **Subtract inside the parentheses:** $$\frac{29}{4} - \frac{7}{2} = \frac{29}{4} - \frac{14}{4} = \frac{15}{4}$$. 4. **Multiply:** $$\left(-\frac{8}{15}\right) \times \frac{15}{4} = -\frac{8}{15} \times \frac{15}{4} = -\frac{8 \times 15}{15 \times 4} = -\frac{8}{4} = -2$$. --- 1. **Problem:** Calculate $$1 \frac{1}{3} \div \left(-1 \frac{1}{2}\right) + 3 \frac{1}{3}$$. 2. **Convert mixed numbers to improper fractions:** $$1 \frac{1}{3} = \frac{4}{3}, \quad -1 \frac{1}{2} = -\frac{3}{2}, \quad 3 \frac{1}{3} = \frac{10}{3}$$. 3. **Divide:** $$\frac{4}{3} \div \left(-\frac{3}{2}\right) = \frac{4}{3} \times \left(-\frac{2}{3}\right) = -\frac{8}{9}$$. 4. **Add:** $$-\frac{8}{9} + \frac{10}{3} = -\frac{8}{9} + \frac{30}{9} = \frac{22}{9} = 2 \frac{4}{9}$$. --- 1. **Problem:** Calculate $$\frac{3}{4} \times \frac{1}{2} - 1 \frac{7}{8} \div 3 - \frac{5}{8}$$. 2. **Convert mixed number to improper fraction:** $$1 \frac{7}{8} = \frac{15}{8}$$. 3. **Calculate each term:** $$\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$$ $$\frac{15}{8} \div 3 = \frac{15}{8} \times \frac{1}{3} = \frac{15}{24} = \frac{5}{8}$$ 4. **Combine all:** $$\frac{3}{8} - \frac{5}{8} - \frac{5}{8} = \frac{3}{8} - \frac{10}{8} = -\frac{7}{8}$$. --- 1. **Problem:** Calculate $$-0.7 + 1.8 \times \frac{2}{3} - \frac{3}{4} \times \left(-\frac{2}{3}\right)$$. 2. **Calculate each multiplication:** $$1.8 \times \frac{2}{3} = 1.2$$ $$-\frac{3}{4} \times \left(-\frac{2}{3}\right) = \frac{6}{12} = 0.5$$ 3. **Combine all:** $$-0.7 + 1.2 + 0.5 = 1.0$$. **Final answers:** 1) $-2$ 2) $2 \frac{4}{9}$ 3) $-\frac{7}{8}$ 4) $1.0$