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

The number is
`\displaystyle(2)/(33)`.

Explanation:

Let x be the number.

We are given that:

Three and two thirds times a number

`3\displaystyle(2)/(3)* x`

This is equal to two-ninths

Thus,

`3\displaystyle(2)/(3)* x = \displaystyle(2)/(9)\\\\\displaystyle(11)/(3)* x = \displaystyle(2)/(9)\\\\x = \displaystyle(2* 3)/(9* 11)\\\\x = \displaystyle(2)/(33)`

Hence, the number is
`\displaystyle(2)/(33)`.