Nvtimate the difference: \( \frac{5}{6}-\frac{3}{5} \) Estimated Difference.

To estimate the difference \( \frac{5}{6} - \frac{3}{5} \), we can round each fraction to a simpler form. The fraction \( \frac{5}{6} \) is approximately \( 1 \) (since it's close to \( \frac{6}{6} \)), and \( \frac{3}{5} \) can be rounded to \( 0.5 \). So, estimating the difference gives us \( 1 - 0.5 = 0.5 \). Thus, a good estimate for \( \frac{5}{6} - \frac{3}{5} \) is around \( 0.5 \). For a more precise approach, find a common denominator, which is \( 30 \) in this case. Convert \( \frac{5}{6} \) to \( \frac{25}{30} \) and \( \frac{3}{5} \) to \( \frac{18}{30} \). Now, \( \frac{25}{30} - \frac{18}{30} = \frac{7}{30} \), which is about \( 0.23 \). Thus, the exact difference is \( \frac{7}{30} \), but our estimated difference of \( 0.5 \ gives you a quick idea!