Length of rope = 11 m
Length of first piece cut = \(2\frac{3}{5}\) m
Length of second piece cut = \(3\frac{3}{10}\) m
Total length cut = Length of first piece cut + Length of second piece cut
= \(2\frac{3}{5}\)m + \(3\frac{3}{10}\)m
= \(\frac{13}{5}\)m + \(\frac{33}{10}\)m
= \(\frac{26+33}{10}\)m
= \(\frac{59}{10}\)m
Length of remaining rope = Length of rope - Total length cut
= 11m - \(\frac{59}{10}\)m
= \(\frac{110-59}{10}\)m
= \(\frac{51}{10}\)m
= \(5\frac{1}{10}\)m
Hence,
Length of remaining rope \(5\frac{1}{10}\)m
