a: \(\frac49+\frac23=\frac49+\frac69=\frac{10}{9}\)
b: \(\frac56-\frac45-\frac34\)
\(=\frac{50}{60}-\frac{48}{60}-\frac{45}{60}\)
\(=\frac{2-45}{60}=-\frac{43}{60}\)
c: \(-\frac{36}{45}-\frac{25}{100}-\frac{22}{33}\)
\(=-\frac45-\frac14-\frac23\)
\(=-\frac{48}{60}-\frac{15}{60}-\frac{40}{60}=\frac{-103}{60}\)
d: \(\left(\frac{5}{-7}+\frac{-5}{-7}\right)+\frac43=-\frac57+\frac57+\frac43=\frac43\)
e: \(\left(-\frac{15}{12}+\frac{3}{-4}\right)+\frac{15}{12}=-\frac{15}{12}+\frac{15}{12}-\frac34=-\frac34\)
f: \(-\left|\frac56-\frac12\right|+\left|-\frac23\right|-\left(-\frac34+\frac25\right)\)
\(=-\left|\frac56-\frac36\right|+\frac23+\frac34-\frac25\)
\(=-\frac13+\frac23+\frac{15-8}{20}=\frac13+\frac{7}{20}=\frac{20+21}{60}=\frac{41}{60}\)
g: \(\left(-\frac12\right)^2:\frac14-2\cdot\left(-\frac12\right)^2=\frac14\cdot4-2\cdot\frac14=1-\frac12=\frac12\)
h: \(\left(-2\right)^3\cdot\frac{-1}{24}+\left(\frac43-1\frac56\right):\frac{5}{12}\)
\(=-8\cdot\frac{-1}{24}+\left(\frac86-\frac{11}{6}\right):\frac{5}{12}\)
\(=\frac13+\frac{-3}{6}\cdot\frac{12}{5}=\frac13+\frac{-36}{30}=\frac{10-36}{30}=-\frac{26}{30}=-\frac{13}{15}\)
