1:
i: \(=\dfrac{15}{34}+\dfrac{19}{34}+\dfrac{7}{21}+\dfrac{2}{3}-1-\dfrac{15}{37}\)
\(=1+\dfrac{1}{3}+\dfrac{2}{3}-1-\dfrac{15}{37}\)
\(=1-\dfrac{15}{37}=\dfrac{22}{37}\)
j: \(=1-\left(-27\right)+\dfrac{1}{2}:\dfrac{-1}{8}\)
\(=1+27-4=24\)
k: \(=-8+\dfrac{1}{2}\cdot\dfrac{-4}{1}-15\)
\(=-8-2-15=-25\)
l: \(=3:\dfrac{9}{4}+\dfrac{1}{9}\cdot6\)
\(=3\cdot\dfrac{4}{9}+\dfrac{1}{9}\cdot6\)
\(=\dfrac{4}{3}+\dfrac{2}{3}=2\)
m: \(=9\cdot\dfrac{1}{3}-\left(-27\right)=3+27=30\)
n: \(\sqrt{\dfrac{16}{25}}\cdot\sqrt{\dfrac{121}{64}}-1\dfrac{3}{10}\)
\(=\dfrac{4}{5}\cdot\dfrac{11}{8}-\dfrac{13}{10}\)
\(=\dfrac{11}{10}-\dfrac{13}{10}=-\dfrac{2}{10}=-\dfrac{1}{5}\)
o: \(=\dfrac{9}{8}\cdot12-\dfrac{1}{2}\)
\(=\dfrac{27}{2}-\dfrac{1}{2}=\dfrac{26}{2}=13\)
p: \(=\dfrac{3^2\cdot2^2+3^2\cdot3\cdot2^2+3^2}{-13}\)
\(=\dfrac{3^2\left(2^2+3\cdot2^2+3^2\right)}{-13}\)
\(=\dfrac{9\cdot\left(4+3\cdot4+9\right)}{-13}\)
\(=\dfrac{9\cdot25}{-13}=-\dfrac{225}{13}\)