\(5\dfrac{1}{3}+3=\dfrac{16}{3}+3=\dfrac{25}{3}\\ \dfrac{7}{17}-1\dfrac{7}{17}+4\dfrac{2}{3}=\dfrac{7}{17}-\dfrac{24}{17}+\dfrac{14}{3}=\dfrac{14}{3}-1=\dfrac{11}{3}\)
\(5\dfrac{1}{3}+3\dfrac{7}{17}-1\dfrac{7}{17}+4\dfrac{2}{3}\)
= \(\dfrac{16}{3}+\dfrac{58}{17}-\dfrac{24}{17}+\dfrac{14}{3}\)
= \(\dfrac{16}{3}+\dfrac{14}{3}+\dfrac{58}{17}-\dfrac{24}{17}\)
= \(\dfrac{30}{3}+\dfrac{34}{17}\)
= 10 + 2
= 12