Answer:
[tex]2.\overline{428571}[/tex]
Step-by-step explanation:
We are asked to write [tex]\frac{17}{7}[/tex] as a repeating decimal.
First of all, we will divide 17 by 7 as:
[tex]\frac{17}{7}=2.4285714285714286[/tex]
Upon looking at the quotient, we can see that repeating digits after decimal are 428571, so we will put a bar on these digits as:
[tex]\frac{17}{7}=2.\overline{428571}[/tex]
Therefore, our required repeating decimal would be [tex]2.\overline{428571}[/tex].
