art 2: Short Answer 1. Estimate the sum: \( \frac{4}{9}+\frac{1}{8} \) Estimated Sum:

To estimate the sum \( \frac{4}{9} + \frac{1}{8} \), we can round each fraction to the nearest common denominator. The fractions can be approximated as \( \frac{4}{9} \approx \frac{4}{8} = 0.5 \) and \( \frac{1}{8} \approx 0.125 \). Adding these, the estimated sum is about \( 0.5 + 0.125 = 0.625 \). To make your estimation even simpler, consider using landmarks—like rounding \( \frac{4}{9} \) to \( \frac{1}{2} \) (or 0.5) and \( \frac{1}{8} \) stays the same. So, \( 0.5 + 0.125 = 0.625 \) which you might round up to \( 0.63 \) for convenience. This approach simplifies your calculations and gives you a reasonable answer quickly!