Respuesta :
Answer:
The number is [tex]\displaystyle\frac{2}{33}[/tex].
Step-by-step explanation:
Let x be the number.
We are given that:
Three and two thirds times a number
[tex]3\displaystyle\frac{2}{3}\times x[/tex]
This is equal to two-ninths
Thus,
[tex]3\displaystyle\frac{2}{3}\times x = \displaystyle\frac{2}{9}\\\\\displaystyle\frac{11}{3}\times x = \displaystyle\frac{2}{9}\\\\x = \displaystyle\frac{2\times 3}{9\times 11}\\\\x = \displaystyle\frac{2}{33}[/tex]
Hence, the number is [tex]\displaystyle\frac{2}{33}[/tex].
