Question

The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x

what is the value for x in the fraction

Answer 1

i think the answer to your question is 11.11 I hope this helps

Answer 2

The required number in the fraction is x=11

Explanation:

Given : The repeating decimal, 0.27..., is converted to the fraction
`0.27....=(3)/(x)`

To find : What is the value for x in the fraction ?

Solution :

Let
`y=0.272727...` ....(1)

Multiply both side by 100,

`100y=27.2727...` .....(2)

Subtract (1) and (2),

`100y-y=(27.2727....)-(0.272727...)`

`99y=27`

`y=(27)/(99)`

`y=(3)/(11)`

On comparing with
`0.27....=(3)/(x)`

The value of x is 11.

Therefore, The required number in the fraction is x=11.