1: =(6/13+7/13)+(-2-2/5+7/5)-37/38
=2-1-1-37/38
=-37/38
2: \(=\dfrac{35}{8}-\dfrac{23}{3}+\dfrac{25}{6}+\dfrac{1}{2}\)
\(=\dfrac{35}{8}-\dfrac{46}{6}+\dfrac{25}{6}+\dfrac{3}{6}\)
=35/8-18/6
=35/8-3=11/8
\(1,\dfrac{6}{13}-2\dfrac{2}{5}+\dfrac{7}{13}+\dfrac{21}{15}-\dfrac{37}{38}=\left(\dfrac{6}{13}+\dfrac{7}{13}\right)+\left(\dfrac{-12}{5}+\dfrac{21}{15}\right)-\dfrac{37}{38}=1+\left(-1\right)-\dfrac{37}{38}=0-\dfrac{37}{38}=\dfrac{-37}{38}\)
\(2,4\dfrac{3}{8}-7\dfrac{2}{3}+4\dfrac{1}{6}+\dfrac{1}{2}=\dfrac{35}{8}-\dfrac{23}{3}+\dfrac{25}{6}+\dfrac{1}{2}=\left(\dfrac{35}{8}+\dfrac{1}{2}\right)+\left(\dfrac{25}{6}-\dfrac{23}{3}\right)=\left(\dfrac{35}{8}+\dfrac{4}{8}\right)+\left(\dfrac{25}{6}-\dfrac{46}{6}\right)=\dfrac{39}{8}+\dfrac{-7}{2}=\dfrac{39}{8}+\dfrac{-28}{8}=\dfrac{11}{8}\)