Write the fraction 17/7 as a repeating decimal.
Answer:
\(2.\overline{428571}\)
Step-by-step explanation:
We are asked to write \(\frac{17}{7}\) as a repeating decimal.
First of all, we will divide 17 by 7 as:
\(\frac{17}{7}=2.4285714285714286\)
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:
\(\frac{17}{7}=2.\overline{428571}\)
Therefore, our required repeating decimal would be \(2.\overline{428571}\).