a: \(\frac47\cdot\frac{14}{5}-\frac16\cdot\frac{3}{10}\)
\(=\frac{4\cdot2}{5}-\frac{1}{2\cdot10}\)
\(=\frac85-\frac{1}{20}=\frac{32}{20}-\frac{1}{20}=\frac{31}{20}\)
b: \(\frac37\cdot\frac45+\frac35\cdot\frac67-\frac37\)
\(=\frac37\left(\frac45+\frac65-1\right)\)
\(=\frac37\cdot\left(\frac{10}{5}-1\right)=\frac37\)
c: \(-\frac37+\frac{-22}{26}+\left(\frac{2}{-13}+\frac37+2022^0\right)\)
\(=-\frac37+\frac37+\frac{-11}{13}-\frac{2}{13}+1\)
=-1+1=0
d: \(-\frac58:\left(\frac12-\frac34\right)^2+\frac57\cdot\frac25\)
\(=-\frac58:\left(\frac14\right)^2-\frac27\)
\(=-\frac58\cdot16-\frac27=-5\cdot2-\frac27=-10-\frac27=-\frac{72}{7}\)
