Question

Express 3.222......in p/q form​

Answer 1

3.22222...... =
`(29)/(9)`

Explanation:

In this question we have to convert the number given in recurrent decimals into fraction.

Recurrent decimal number is 3.22222.......

Let x = 3.2222......... -------(1)

Multiply this expression by 10.

10x = 32.2222........... -------(2)

Now subtract the expression (1) from (2),

10x = 32.22222.....

x = 3.22222.......

9x = 29

x =
`(29)/(9)`

Therefore, recurrent decimal number can be written as
`(29)/(9)` which is in the form of
`(p)/(q)`.