Answer:
C)
![x=(17)/(33)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nc5othg6sbefpb6s8hcdpnnce78kbawb3t.png)
Explanation:
0.51 repeating decimal
x= 0.51515151
multiply by 100 on both sides
100x = 51.515151.........
x= 0.515151...............
--------------------------------------------(subtract)
99x = 51
divide by 99 on both sides
![x=(51)/(99)](https://img.qammunity.org/2020/formulas/mathematics/high-school/rz8sz68j6rlnvjgg49tszv9w7xsa67797b.png)
divide both sides by 3
![x=(17)/(33)](https://img.qammunity.org/2020/formulas/mathematics/high-school/nc5othg6sbefpb6s8hcdpnnce78kbawb3t.png)