Write $2.161616 as a fraction and as a mixed number.

The answer is going to be 2 10101/62500

2.161616 ...

2 + 0.161616 ...

When you see a recurring decimal, the number 9 should come to mind.

If we have: 0.1111 ... the fraction is 1/9

If we have: 0.2222 ... the fraction is 2/9

If we have: 0.3333 ... the fraction is 3/9

But since it is two digits that are recurring: 0.161616 ... the fraction = 16 / 99

Therefore $2.161616 as fraction = $2 16/99

As mixed = (2*99 + 16) / 99 = 214/99 = $214/99