a: \(\dfrac{-3}{-9}+\dfrac{8}{7}+\dfrac{1}{-3}+\dfrac{26}{14}\)
\(=\dfrac{1}{3}-\dfrac{1}{3}+\dfrac{8}{7}+\dfrac{13}{7}\)
\(=\dfrac{21}{7}=3\)
b: \(\dfrac{2}{9}-\left(-\dfrac{3}{7}+\dfrac{2}{3}\right)\cdot\dfrac{1}{3}\)
\(=\dfrac{2}{9}+\dfrac{3}{7}\cdot\dfrac{1}{3}-\dfrac{2}{3}\cdot\dfrac{1}{3}\)
\(=\dfrac{3}{7}\cdot\dfrac{1}{3}=\dfrac{1}{7}\)
c: \(\dfrac{16}{5}\cdot\dfrac{15}{64}-\left(\dfrac{4}{5}+\dfrac{2}{5}\right)\cdot\dfrac{11}{3}\)
\(=\dfrac{16}{64}\cdot\dfrac{15}{5}-\dfrac{6}{5}\cdot\dfrac{11}{3}\)
\(=\dfrac{1}{4}\cdot3-2\cdot\dfrac{11}{5}=\dfrac{3}{4}-\dfrac{22}{5}\)
\(=\dfrac{15-88}{20}=\dfrac{-73}{20}\)
d: \(\dfrac{-3}{8}+\dfrac{12}{25}+\dfrac{5}{8}+\dfrac{2}{5}+\dfrac{13}{25}+1\)
\(=\left(-\dfrac{3}{8}+\dfrac{5}{8}+1\right)+\dfrac{2}{5}+\dfrac{12}{25}+\dfrac{13}{25}\)
\(=\left(\dfrac{2}{8}+1\right)+\dfrac{2}{5}+1\)
\(=\dfrac{1}{4}+\dfrac{2}{5}+2=\dfrac{5+8+40}{20}=\dfrac{53}{20}\)
