Answer:
8/3
Step-by-step explanation:
we call the number as "x":
[tex]4 \frac{5}{9} = 2 \frac{1}{3} + ( \frac{5}{6} )(x) \\ \\ \frac{41}{9} = \frac{7}{3} \times \frac{5x}{6} \\ \\ multiply \: all \: of \: them \: by \: 18 \\ 82 = 42 + 15x \\ 15x = 40 \\ x = \frac{40}{15} = \frac{8}{3} [/tex]
