Ответ:

1/2

Пошаговое объяснение:

3 1/3 / 4 4/9х = 2,4 / 1,6

4 4/9х * 2,4 = 3 1/3 * 1,6

40/9х * 24/10 = 10/3 * 16/10

4/3х * 8/1 = 1/3 * 16/1

32/3х = 16/3

х = 16/3 : 32/3

х = 16/3 * 3/32

х = 1/1 * 1/2

х = 1/2

Verified answer

[tex] \frac{3 \frac{1}{3} }{4 \frac{4}{9}x } = \frac{2.4}{1.6} \\ 4 \frac{4}{9} x \times 2.4 = 3 \frac{1}{3} \times 1.6 \\ 4 \frac{4}{9} x \times 2 \frac{2}{5} = 3 \frac{1}{3} \times 1 \frac{3}{5} \\ \frac{40}{9} x \times \frac{12}{5} = \frac{10}{3} \times \frac{8}{5} \\ \frac{40 \times 12}{9 \times 5} x = \frac{10 \times 8}{3 \times 5} \\ \frac{8 \times4 }{ 3 \times 1} x = \frac{2 \times 8}{3 \times 1} \\ \frac{32}{3} x = \frac{16}{3} \\ x = \frac{ \frac{16}{3} }{ \frac{32}{3} } = \frac{16 \times 3}{3 \times 32} = \frac{1 \times 1}{1 \times 2} = \frac{1}{2} [/tex]