Question

What is 0.895 repeating simplified in a fraction

Answer 1

`(887)/(990)`

Explanation:

Multiply by 100, subtract the original and divide the result by 99.

`x=0.8\overline{95}\\100x=89.5\overline{95}\\100x-x=89.5\overline{95}-0.8\overline{95}=88.7\\99x=88.7\\\\x=(88.7)/(99)=\boxed{(887)/(990)}`