a: \(1\frac13-\frac34-\frac45+\frac13\)
\(=\frac43-\frac34-\frac45\)
\(=\frac{80}{60}-\frac{45}{60}-\frac{48}{60}=\frac{80-45-48}{60}=\frac{-13}{60}\)
b: \(\frac59:2\frac25-4\frac59:2\frac25\)
\(=\left(\frac59-4-\frac59\right):\left(2+\frac25\right)\)
\(=-4:\frac{12}{5}=-4\cdot\frac{5}{12}=-\frac53\)
c: \(\left(-\frac34+\frac25\right):\frac{5}{11}+\left(-\frac14+\frac35\right):\frac{5}{11}\)
\(=\left(-\frac34+\frac25-\frac14+\frac35\right):\frac{5}{11}\)
\(=\left(-1+1\right):\frac{5}{11}=0\)
d: \(\frac17\cdot\frac58+\frac17\cdot\frac58-\frac{\left(-1\right)^{2019}}{7}\)
\(=\frac17\cdot\left(\frac58+\frac58\right)+\frac17\)
\(=\frac17\left(\frac54+1\right)=\frac17\cdot\frac94=\frac{9}{28}\)
