Пошаговое объяснение:

[tex]x \div \frac{8}{9} = 3 \div 4[/tex]

[tex] \frac{x}{ \frac{8}{9} } = \frac{3}{4} [/tex]

[tex] \frac{9x}{8} = \frac{3}{4} [/tex]

[tex]36x = 24[/tex]

[tex]x = \frac{2}{3} [/tex]

х : 8/9 = 3 : 4

4х = 8/9 * 3

4х = 8/3 | : 4

x = 2/3