Question

Three and two thirds times a number equals two ninths

Answer 1

3 2/3 x # = 2/9
# = 2/9 \ 3 2/3
# = 2/33 or 0.067

Answer 2

Answer:

The number is $\displaystyle\frac{2}{33}$.

Step-by-step explanation:

Let x be the number.

We are given that:

Three and two thirds times a number

$3\displaystyle\frac{2}{3}\times x$

This is equal to two-ninths

Thus,

$3\displaystyle\frac{2}{3}\times x = \displaystyle\frac{2}{9}\\\\\displaystyle\frac{11}{3}\times x = \displaystyle\frac{2}{9}\\\\x = \displaystyle\frac{2\times 3}{9\times 11}\\\\x = \displaystyle\frac{2}{33}$

Hence, the number is $\displaystyle\frac{2}{33}$.