What is \( 173 \frac{79}{92} \) rounded to the nearest hundred

To round \( 173 \frac{79}{92} \) to the nearest hundred, first convert the mixed number to an improper fraction: \[ 173 \frac{79}{92} = 173 + \frac{79}{92} \] Calculating \( \frac{79}{92} \) gives approximately \( 0.857 \). Therefore, \[ 173 + 0.857 \approx 173.857 \] Rounding \( 173.857 \) to the nearest hundred results in \( 200 \), as it is closer to \( 200 \) than to \( 100 \). Thus, the final answer is \( 200 \). But remember, rounding woes can be tricky! It's always best to understand the basic rule: if a number is halfway or more to the next 'tens' or 'hundreds,' you round up. If not, you stick with your current number. Just keep your eyes on that decimal!