Question

Which simplified fraction represents 0.45 repeating?

Answer 1

the answer ti this question is 5/11 

Answer 2

Answer: Our required simplified fraction is
`(5)/(11)`

Explanation:

Since we have given that

`0.\bar{45}`

We need to find the simplified fraction.

`Let\ x=0.\bar{45}=0.45454545.......-----------------------(1)`

Multiplying by 100 on both the sides, we get that

`100x=45.4545454545.........---------------------(2)`

Subtracting (2) from (1), we get that

`100x-x=45.454545........0.454545......\\\\99x=45\\\\x=(45)/(99)\\\\x=(5)/(11)`

Hence, our required simplified fraction is
`(5)/(11)`