Verified Answer :

First we will make 3 1/2 to improper fraction: \(3 \frac{1}{2} = \frac{7}{2}\) Then:\(\frac{7}{2}- \frac{2}{3} * \frac{7}{2}= \frac{7}{2} - \frac{14}{6} = \frac{21}{6}- \frac{14}{6} = \frac{7}{6}=1 \frac{1}{6}\)
Answer: 1 1/6 yards.