1) x - 2 1/5 = 5 2/5 2) (x - 3 13/24) + 210/- 24 =7 x c1 3 (x + 2 4/11) - 4 * z/11 = 1 * (5 * c')/71 (4) 3 5/7 + x = 9 1/7

Let's solve each equation one by one. ### Problem 1: **Equation**: \[ x - 2 \frac{1}{5} = 5 \frac{2}{5} \] **Solution**: 1. Convert mixed numbers to improper fractions: - \( 2 \frac{1}{5} = \frac{11}{5} \) - \( 5 \frac{2}{5} = \frac{27}{5} \) 2. Rewrite the equation: \[ x - \frac{11}{5} = \frac{27}{5} \] 3. Add \( \frac{11}{5} \) to both sides: \[ x = \frac{27}{5} + \frac{11}{5} \] \[ x = \frac{27 + 11}{5} \] \[ x = \frac{38}{5} \] \[ x = 7 \frac{3}{5} \] ### Problem 2: **Equation**: \[ (x - 3 \frac{13}{24}) + \frac{210}{-24} = 7 \times c_1 \] **Solution**: 1. Convert the mixed number to an improper fraction: - \( 3 \frac{13}{24} = \frac{72 + 13}{24} = \frac{85}{24} \) 2. Rewrite the equation: \[ (x - \frac{85}{24}) - \frac{210}{24} = 7 \times c_1 \] 3. Combine the constants on the left side: \[ x - \frac{85 + 210}{24} = 7 \times c_1 \] \[ x - \frac{295}{24} = 7c_1 \] 4. Add \( \frac{295}{24} \) to both sides: \[ x = 7c_1 + \frac{295}{24} \] ### Problem 3: **Equation**: \[ (x + 2 \frac{4}{11}) - \frac{4z}{11} = 1 \cdot \frac{5c'}{71} \] **Solution**: 1. Convert the mixed number to an improper fraction: - \( 2 \frac{4}{11} = \frac{22 + 4}{11} = \frac{26}{11} \) 2. Rewrite the equation: \[ (x + \frac{26}{11}) - \frac{4z}{11} = \frac{5c'}{71} \] 3. Combine the constants on the left side: \[ x + \frac{26}{11} - \frac{4z}{11} = \frac{5c'}{71} \] \[ x = \frac{5c'}{71} - \frac{26}{11} + \frac{4z}{11} \] ### Problem 4: **Equation**: \[ 3 \frac{5}{7} + x = 9 \frac{1}{7} \] **Solution**: 1. Convert the mixed numbers to improper fractions: - \( 3 \frac{5}{7} = \frac{26}{7} \) - \( 9 \frac{1}{7} = \frac{64}{7} \) 2. Rewrite the equation: \[ \frac{26}{7} + x = \frac{64}{7} \] 3. Subtract \( \frac{26}{7} \) from both sides: \[ x = \frac{64}{7} - \frac{26}{7} \] \[ x = \frac{64 - 26}{7} \] \[ x = \frac{38}{7} \] \[ x = 5 \frac{3}{7} \] ### Summary of Results: 1. \( x = 7 \frac{3}{5} \) 2. \( x = 7c_1 + \frac{295}{24} \) 3. \( x = \frac{5c'}{71} - \frac{26}{11} + \frac{4z}{11} \) 4. \( x = 5 \frac{3}{7} \) If you need any further clarification or additional problems to solve, feel free to ask!