Question

How would you represent 0.435 (4 and 5 are recurring) and, What will be the answer if you convert 0.435 (4 and 5 are recurring) into fraction?

Answer 1

`435/999= 0.bar(435)`

Explanation:

How 4 and 5 are recurring? It cannot be `0.bar(4)3bar(5)`. Do you mean `0.bar(435)` or maybe `0.435bar(45)`?

Assuming you mean `0.bar(435)`:

let `x = 0.bar(435)`
There are 3 recurring digits after decimal
`1000xxx = 1000xx0.bar(435)`
`1000x = 435.bar(435`

`=> x = 0.bar(435)` , `1000x = 435.bar(435)`
`1000x - x = 435.bar(435) - 0.bar(435)`
`999x = 435`
`x = 435/999`