a: \(A=\frac{15}{34}+\frac{7}{21}+\frac{9}{34}-1\frac{15}{17}+\frac23\)
\(=\left(\frac{15}{34}+\frac{9}{34}\right)+\left(\frac{7}{21}+\frac23\right)-1-\frac{15}{17}\)
\(=\frac{24}{34}+1-1-\frac{15}{17}=\frac{12}{17}-\frac{15}{17}=-\frac{3}{17}\)
b: \(B=16\frac27:\left(-\frac35\right)-28\frac27:\left(-\frac35\right)\)
\(=\left(16+\frac27-28-\frac27\right):\left(-\frac35\right)\)
\(=-12\cdot\frac{-5}{3}=20\)
c: \(C=25\cdot\left(-\frac13\right)^2+\frac15-2\cdot\left(-\frac12\right)^2-\frac12\)
\(=25\cdot\frac19+\frac15-2\cdot\frac14-\frac12\)
\(=\frac{25}{9}+\frac15-1=\frac{16}{9}+\frac15=\frac{89}{45}\)
d: \(D=\left(-2\right)^3\left(\frac34-0,25\right):\left(2\frac14-1\frac16\right)\)
\(=-8\cdot\left(\frac34-\frac14\right):\left(2+\frac14-1-\frac16\right)\)
\(=-8\cdot\frac24:\left(1+\frac14-\frac16\right)=-4:\left(1+\frac{1}{12}\right)=-4:\frac{13}{12}\)
\(=-4\cdot\frac{12}{13}=-\frac{48}{13}\)
e: \(E=5\sqrt{16}-4\sqrt9+\sqrt{25}-0,3\cdot\sqrt{400}\)
\(=5\cdot4-4\cdot3+5-0,3\cdot20\)
=20-12+5-6
=8-1
=7
f: \(F=\left(-\frac32\right)^2+\left|-\frac56\right|-1\frac12:\text{6}\)
\(=\frac94+\frac56-\frac32:6=\frac94+\frac56-\frac{3}{12}=\frac94-\frac14+\frac56\)
\(=2+\frac56=\frac{17}{6}\)
