Take 0.1717...to be x

multiply by 100 on both sides

thus we have,

100x = 17.1717...

But we know that 0.1717 = x (Look at the 1st line)

Thus we have,

100x = 17 + x

100x - x = 17

99x = 17

x = 17/99'

It cannot be 77/99.

multiply by 100 on both sides

thus we have,

100x = 17.1717...

But we know that 0.1717 = x (Look at the 1st line)

Thus we have,

100x = 17 + x

100x - x = 17

99x = 17

x = 17/99'

It cannot be 77/99.