Question

Question #f6a91

Answer 1

`895/999`

Explanation:

We require to obtain 2 equations with the same repeating part then subtract them to eliminate the repeating part.

`0.bar(895)" represents " 0.895895....`

`"Let " x=0. color(blue)(895)rarr(A)`

To obtain the same repeating part after the decimal point we require to multiply by 1000

`rArr1000x=895. color(blue)(895)rarr(B)`

Subtracting (A) from (B) will eliminate the repeated fraction.

`rArr999x=895larr" repeated fraction is eliminated"`

`rArrx=895/999larr" in simplest form"`