1. Compute \( \frac{5}{13} \times \frac{7}{19} \): \[ \frac{5 \times 7}{13 \times 19} = \frac{35}{247} \] 2. Compute \( \frac{5}{13} \times \frac{12}{19} \): \[ \frac{5 \times 12}{13 \times 19} = \frac{60}{247} \] 3. Now, add the two fractions: \[ \frac{35}{247} + \frac{60}{247} = \frac{35 + 60}{247} = \frac{95}{247} \] 4. Now, compute \( 2024^0 \): \[ 2024^0 = 1 \quad \text{(any non-zero number to the power of 0 is 1)} \] 5. Finally, combine the results: \[ \frac{95}{247} + 1 = \frac{95}{247} + \frac{247}{247} = \frac{95 + 247}{247} = \frac{342}{247} \] So, the final result is: \[ \frac{342}{247} \]513×719: 5×713×19=35247 2. Compute513×1219: 5×1213×19=60247 3. Now, add the two fractions: 35247+60247=35+60247=95247 4. Now, compute20240: 20240=1(any non-zero number to the power of 0 is 1) 5. Finally, combine the results: 95247+1=95247+247247=95+247247=342247 So, the final result is: 342247