What is \( 790 \frac{20}{65} \) rounded to the nearest hundred?

To round \( 790 \frac{20}{65} \) to the nearest hundred, follow these steps: 1. **Interpret the Mixed Number**: - \( 790 \frac{20}{65} \) is a mixed number, which means it's equivalent to \( 790 + \frac{20}{65} \). 2. **Simplify the Fraction**: - \( \frac{20}{65} \) can be simplified by dividing both the numerator and the denominator by 5: \[ \frac{20 \div 5}{65 \div 5} = \frac{4}{13} \approx 0.3077 \] 3. **Combine the Whole Number and the Fraction**: - \( 790 + 0.3077 \approx 790.3077 \) 4. **Round to the Nearest Hundred**: - To round to the nearest hundred, look at the digit in the tens place. - Here, \( 790.3077 \) is closer to \( 800 \) than to \( 700 \). Therefore, \( 790 \frac{20}{65} \) rounded to the nearest hundred is **800**. **Answer:** 800