Question

1.888... as a mixed number

Answer 1

`\displaystyle 1(8)/(9)`

Explanation:

A repeating decimal such as 0.1111111 or 0.77777 can be written as
`(n)/(9)` where n is the number being repeated ("0.nnnnn").

1.88888 - 1 = 0.888888

0.888888 =
`(8)/(9)`

1 +
`(8)/(9)` = 1
`(8)/(9)`