Question #f6a91

1 Answer
Jan 9, 2017

Answer:

#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"#