Answer:
![(8)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/41n467go4rmzpua0wdngayzwlz2x2u8n2c.png)
Explanation:
We have to create 2 fractions with the repeating number placed after the decimal point.
let x = 0.88.... → (1) ( multiply both sides by 10 )
10x = 8.88.... → (2)
Subtract (1) from (2), eliminating the repeating decimal
9x = 8 ( divide both sides by 9 )
x =
![(8)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/41n467go4rmzpua0wdngayzwlz2x2u8n2c.png)
Thus 0.888..... =
![(8)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/41n467go4rmzpua0wdngayzwlz2x2u8n2c.png)