a)
[tex]x * 2 \frac{3}{4} = 9 \frac{5}{8}\\\\x * \frac{11}{4} = \frac{77}{8}\\\\\frac{11}{8}x = \frac{77}{8} | * \frac{4}{11}\\\\x = \frac{7}{2}[/tex]
b)
[tex]1 \frac{2}{3} * x = 5 \frac{5}{6}\\\\\frac{5}{3} x = \frac{35}{6} | * \frac{3}{5}\\\\x = \frac{7}{2}[/tex]
c)
[tex]x : 2 \frac{1}{9} = 1 \frac{4}{5}\\\\x : \frac{19}{9} = \frac{9}{5}\\\\x * \frac{9}{19} = \frac{9}{5}\\\\\frac{9}{19}x = \frac{9}{5} | * \frac{19}{9}\\\\x = \frac{19}{5}[/tex]
d)
[tex]2 \frac{2}{3} : x = 4 \frac{4}{5}\\\\\frac{8}{3} * \frac{1}{x} = \frac{24}{5}\\\\\frac{8}{3x} = \frac{24}{5}\\\\72x = 40 | : 72\\\\x = \frac{5}{9}[/tex]