Sp152 1. \( -0.8+\frac{1}{9} \times 1 \frac{4}{5} \) 2. \( 2.5-1 \frac{2}{3} \times\left(-\frac{6}{7}\right) \) 3. \( -4.9 \div[0.3-(-0.4)] \times 2.7 \) 4. \( 3.25 \div(-1.7-0.8) \times 1.2 \) 5. \( -0.6 \times 2 \frac{1}{3}-4 \div \frac{8}{9} \) 6. \( 3.5 \times\left(-\frac{1}{7}\right)+\frac{3}{4} \div \frac{5}{8} \) \( = \) \( = \) 7. \( 3 \frac{1}{4}-(-0.18) \div\left(\frac{1}{5}+0.7\right) \) 8. \( 7 \frac{2}{5}-\left(-3 \frac{1}{2}\right) \div(-9+2) \) \( = \)

Sure! Let's evaluate each of the given mathematical expressions step by step. --- ### **1.** \( -0.8 + \frac{1}{9} \times 1 \frac{4}{5} \) **Step 1:** Convert the mixed number to an improper fraction. \[ 1 \frac{4}{5} = \frac{9}{5} \] **Step 2:** Multiply \(\frac{1}{9}\) by \(\frac{9}{5}\). \[ \frac{1}{9} \times \frac{9}{5} = \frac{9}{45} = \frac{1}{5} = 0.2 \] **Step 3:** Add the result to \(-0.8\). \[ -0.8 + 0.2 = -0.6 \] **Answer:** \(-0.6\) --- ### **2.** \( 2.5 - 1 \frac{2}{3} \times \left(-\frac{6}{7}\right) \) **Step 1:** Convert the mixed number to an improper fraction. \[ 1 \frac{2}{3} = \frac{5}{3} \] **Step 2:** Multiply \(\frac{5}{3}\) by \(-\frac{6}{7}\). \[ \frac{5}{3} \times \left(-\frac{6}{7}\right) = -\frac{30}{21} = -\frac{10}{7} \approx -1.4286 \] **Step 3:** Subtract the product from 2.5. \[ 2.5 - (-1.4286) = 2.5 + 1.4286 = 3.9286 \] **Answer:** \( \frac{55}{14} \) or approximately **3.9286** --- ### **3.** \( -4.9 \div [0.3 - (-0.4)] \times 2.7 \) **Step 1:** Simplify inside the brackets. \[ 0.3 - (-0.4) = 0.3 + 0.4 = 0.7 \] **Step 2:** Perform the division. \[ -4.9 \div 0.7 = -7 \] **Step 3:** Multiply by 2.7. \[ -7 \times 2.7 = -18.9 \] **Answer:** \(-18.9\) --- ### **4.** \( 3.25 \div (-1.7 - 0.8) \times 1.2 \) **Step 1:** Simplify the denominator. \[ -1.7 - 0.8 = -2.5 \] **Step 2:** Perform the division. \[ 3.25 \div (-2.5) = -1.3 \] **Step 3:** Multiply by 1.2. \[ -1.3 \times 1.2 = -1.56 \] **Answer:** \(-1.56\) --- ### **5.** \( -0.6 \times 2 \frac{1}{3} - 4 \div \frac{8}{9} \) **Step 1:** Convert the mixed number to an improper fraction. \[ 2 \frac{1}{3} = \frac{7}{3} \] **Step 2:** Multiply \(-0.6\) by \(\frac{7}{3}\). \[ -0.6 \times \frac{7}{3} = -1.4 \] **Step 3:** Perform the division. \[ 4 \div \frac{8}{9} = 4 \times \frac{9}{8} = \frac{36}{8} = 4.5 \] **Step 4:** Subtract the results. \[ -1.4 - 4.5 = -5.9 \] **Answer:** \(-5.9\) --- ### **6.** \( 3.5 \times \left(-\frac{1}{7}\right) + \frac{3}{4} \div \frac{5}{8} \) **Step 1:** Multiply \(3.5\) by \(-\frac{1}{7}\). \[ 3.5 \times \left(-\frac{1}{7}\right) = -0.5 \] **Step 2:** Perform the division. \[ \frac{3}{4} \div \frac{5}{8} = \frac{3}{4} \times \frac{8}{5} = \frac{24}{20} = 1.2 \] **Step 3:** Add the results. \[ -0.5 + 1.2 = 0.7 \] **Answer:** **0.7** --- ### **7.** \( 3 \frac{1}{4} - (-0.18) \div \left(\frac{1}{5} + 0.7\right) \) **Step 1:** Convert the mixed number to a decimal. \[ 3 \frac{1}{4} = 3.25 \] **Step 2:** Simplify the denominator. \[ \frac{1}{5} + 0.7 = 0.2 + 0.7 = 0.9 \] **Step 3:** Perform the division. \[ -0.18 \div 0.9 = -0.2 \] **Step 4:** Subtract the result. \[ 3.25 - (-0.2) = 3.25 + 0.2 = 3.45 \] **Answer:** **3.45** --- ### **8.** \( 7 \frac{2}{5} - \left(-3 \frac{1}{2}\right) \div (-9 + 2) \) **Step 1:** Convert mixed numbers to decimals. \[ 7 \frac{2}{5} = 7.4 \] \[ -3 \frac{1}{2} = -3.5 \] **Step 2:** Simplify the denominator. \[ -9 + 2 = -7 \] **Step 3:** Perform the division. \[ \left(-3.5\right) \div (-7) = 0.5 \] **Step 4:** Subtract the result. \[ 7.4 - 0.5 = 6.9 \] **Answer:** **6.9** --- Feel free to reach out if you need further explanations or assistance with other problems!