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8)

$(3\frac{5}{12}-2\frac{2}{9})*\frac{12}{43}+2\frac{2}{3}=$

$(\frac{41}{12}-\frac{20}{9})*\frac{12}{43}+\frac{8}{3}=$

$(\frac{3*41-4*20}{36})*\frac{12}{43}+\frac{8}{3}=$

$(\frac{123-80}{36})*\frac{12}{43}+\frac{8}{3}=$

$\frac{43}{36}*\frac{12}{43}+\frac{8}{3}=\frac{1}{3}+\frac{8}{3}=\frac{9}{3}=3$

9)

$(\frac{4}{5})^{3}=(\frac{4^{3}}{5^{3}})=\frac{64}{125}$

10)

$(x+\frac{5}{8})-\frac{3}{4}=\frac{5}{12}-\frac{3}{8}$

$x=\frac{5}{12}-\frac{3}{8}+\frac{3}{4}-\frac{5}{8}$

$x=\frac{2*5-3*3+6*3-3*5}{24}=\frac{10-9+18-15}{24}=\frac{4}{24}=\frac{1}{6}$